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This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your Class 12 knowledge and support exam preparation. Choose a topic below to get started.
| 351. |
If A=[(sinalpha,-sinalpha),(sinalpha,cosalpha)], then A+A'=I, if the value of alpha is : |
| Answer» <html><body><p>`<a href="https://interviewquestions.tuteehub.com/tag/pi-600185" style="font-weight:bold;" target="_blank" title="Click to know more about PI">PI</a>/6`<br/>`pi/3`<br/>`pi`<br/>`(<a href="https://interviewquestions.tuteehub.com/tag/3pi-1863811" style="font-weight:bold;" target="_blank" title="Click to know more about 3PI">3PI</a>)/(<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>)`. </p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :<a href="https://interviewquestions.tuteehub.com/tag/b-387190" style="font-weight:bold;" target="_blank" title="Click to know more about B">B</a></body></html> | |
| 352. |
The radius of a sphere decreases from 10 cm to 9.9 cm. Find (i) approximate decrease in its volume. (ii) approximate decrease in its surface. |
| Answer» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :`(i) <a href="https://interviewquestions.tuteehub.com/tag/40-314386" style="font-weight:bold;" target="_blank" title="Click to know more about 40">40</a> pi <a href="https://interviewquestions.tuteehub.com/tag/cm-919986" style="font-weight:bold;" target="_blank" title="Click to know more about CM">CM</a>^(<a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a>)(ii) 8 pi cm^(2)`</body></html> | |
| 353. |
If |z- 25i| le 15 , then |maximum arg (z) - minimum arg (z)| equals |
| Answer» <html><body><p>`2 Cos^(-<a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a>) (3//5)`<br/>`2 Cos^(-1) (4//5)`<br/>`(<a href="https://interviewquestions.tuteehub.com/tag/pi-600185" style="font-weight:bold;" target="_blank" title="Click to know more about PI">PI</a>)/(2) + Cos^(-1) (3//5)`<br/>`<a href="https://interviewquestions.tuteehub.com/tag/sin-1208945" style="font-weight:bold;" target="_blank" title="Click to know more about SIN">SIN</a>^(-1) (3//5) - Cos^(-1) (3//5)`</p>Answer :<a href="https://interviewquestions.tuteehub.com/tag/b-387190" style="font-weight:bold;" target="_blank" title="Click to know more about B">B</a></body></html> | |
| 354. |
A cylindrical ................. |
| Answer» <html><body><p><br/></p>Solution :Figure below shows <a href="https://interviewquestions.tuteehub.com/tag/forces-16875" style="font-weight:bold;" target="_blank" title="Click to know more about FORCES">FORCES</a> acting on a 'particle' on the surface with respect to <a href="https://interviewquestions.tuteehub.com/tag/vessel-1445872" style="font-weight:bold;" target="_blank" title="Click to know more about VESSEL">VESSEL</a> <br/> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/RES_MPCT_3_E01_094_S01.png" width="80%"/> <br/> `mg sin <a href="https://interviewquestions.tuteehub.com/tag/theta-1412757" style="font-weight:bold;" target="_blank" title="Click to know more about THETA">THETA</a> - mu mg cos theta` is pseudo <a href="https://interviewquestions.tuteehub.com/tag/force-22342" style="font-weight:bold;" target="_blank" title="Click to know more about FORCE">FORCE</a> <br/> Here if `phi` is angle made by water surface with incline, we use <br/> `tan phi =(mu mg cos theta)/(mg cos theta)=mu` <br/> `phi` is angle between normal to the inclined surface and the resultant force. the same angle will be formed between the surface of water & the inclined surface.</body></html> | |
| 355. |
There are 6 white and 4 black balls in a bag. If four are drawn successively (and not replaced),find the probability that they are alternately of different colour. |
| Answer» <html><body><p></p><a href="https://interviewquestions.tuteehub.com/tag/solution-25781" style="font-weight:bold;" target="_blank" title="Click to know more about SOLUTION">SOLUTION</a> :There are 6 white and <a href="https://interviewquestions.tuteehub.com/tag/4-311707" style="font-weight:bold;" target="_blank" title="Click to know more about 4">4</a> black balls in a bag. Four balls are <a href="https://interviewquestions.tuteehub.com/tag/drawn-2062388" style="font-weight:bold;" target="_blank" title="Click to know more about DRAWN">DRAWN</a> without replacement. Let W and B denotes the white and black ball. There are <a href="https://interviewquestions.tuteehub.com/tag/two-714195" style="font-weight:bold;" target="_blank" title="Click to know more about TWO">TWO</a> mutually exclusive cases WBWB and BWBW. <br/> `therefore P(WBWB)=6/10xx4/9xx5/8xx3/7=1/14` <br/> P(BWBW)=`4/10xx6/9xx3/8xx5/7xx=1/14` <br/> `therefore` Probability that they are <a href="https://interviewquestions.tuteehub.com/tag/alternately-7290627" style="font-weight:bold;" target="_blank" title="Click to know more about ALTERNATELY">ALTERNATELY</a> of different colour`=1/14+1/14=2/14=1/7`</body></html> | |
| 356. |
An ordered triplet solution (x,y,z) with x,y,z int (0,1) and satisfying x^(2)+y^(2)+z^(2) + 2xyz=1 is |
| Answer» <html><body><p>`(cospi/6, cos (7pi)/18, cos(<a href="https://interviewquestions.tuteehub.com/tag/4pi-1882352" style="font-weight:bold;" target="_blank" title="Click to know more about 4PI">4PI</a>)/9)`<br/>`(cos (2pi)/5, cos(<a href="https://interviewquestions.tuteehub.com/tag/pi-600185" style="font-weight:bold;" target="_blank" title="Click to know more about PI">PI</a>)/3, cos pi/10)`<br/>`(cos (7pi)/<a href="https://interviewquestions.tuteehub.com/tag/12-269062" style="font-weight:bold;" target="_blank" title="Click to know more about 12">12</a>, cospi/4, cos pi/6)`<br/>`(cos pi/12, cos (4pi)/9, cos (17pi)/<a href="https://interviewquestions.tuteehub.com/tag/36-309156" style="font-weight:bold;" target="_blank" title="Click to know more about 36">36</a>)`</p>Answer :A::D</body></html> | |
| 357. |
If the marginal revenue (MR) function is defined as the rate of change of total revenue (R ) with respect to the quantity demanded at an instant. IF the marginal revenue of a function is given by: MR=25 e^(-x//400) (1-x/100) find the total revenue function through integration, putting the condition that R=6 when x=0 |
| Answer» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :`R=25`</body></html> | |
| 358. |
For all real values of x, the minimum value of f(x)=(1-x+x^(2))/(1+x+x^(2)), AA x in R is ………. |
| Answer» <html><body><p>0<br/><a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a><br/><a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a><br/>`(1)/(3)` </p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :D</body></html> | |
| 359. |
Arandom variable x takes the values 0, 1, 2, 3 and its mean is 1.3. If P(x=3)=2 P(x=1) and P(x=2)=0.3, then P(x=0)= |
| Answer» <html><body><p>0.1<br/>0.2<br/>0.3<br/>0.4</p>Answer :D</body></html> | |
| 360. |
If veca.vecb=0 then angle between vector veca and vecb is: |
| Answer» <html><body><p>pi/2<br/>pi/6<br/>pi/4<br/>pi/3</p>Answer :A</body></html> | |
| 361. |
Removesecondterm( secondhigherpowerof x )fromthe equation x^3 +6x^2 + 4x +4=0 |
| Answer» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :`x^3 -<a href="https://interviewquestions.tuteehub.com/tag/8x-340330" style="font-weight:bold;" target="_blank" title="Click to know more about 8X">8X</a> +12=0`</body></html> | |
| 362. |
A letter is known to have come either from word TATA NAGAR or from CALCUTTA, On the envelope, just two consecutive letter TA are visible. What is the probability that the letter came from TATA NAGAR ? |
| Answer» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :`(<a href="https://interviewquestions.tuteehub.com/tag/7-332378" style="font-weight:bold;" target="_blank" title="Click to know more about 7">7</a>)/(<a href="https://interviewquestions.tuteehub.com/tag/11-267621" style="font-weight:bold;" target="_blank" title="Click to know more about 11">11</a>)`</body></html> | |
| 363. |
Bohr effect is :- |
| Answer» <html><body><p>The <a href="https://interviewquestions.tuteehub.com/tag/effect-966056" style="font-weight:bold;" target="_blank" title="Click to know more about EFFECT">EFFECT</a> of `Co_(<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>)` on haemoglobin<br/>The effect of `CO_(2)` on oxyhaemoglobin<br/>The effect of `CO_(2)` on RBC<br/>The effect of `O_(2)` on haemoglobin</p>Answer :A</body></html> | |
| 364. |
int sqrt(1+x^(2))dx=.... |
| Answer» <html><body><p>`(<a href="https://interviewquestions.tuteehub.com/tag/x-746616" style="font-weight:bold;" target="_blank" title="Click to know more about X">X</a>)/(2)sqrt(1+x^(2))+(1)/(2)log|(x+sqrt(1+x^(2)))|+<a href="https://interviewquestions.tuteehub.com/tag/c-7168" style="font-weight:bold;" target="_blank" title="Click to know more about C">C</a>`<br/>`(2)/(3)(1+x^(2))^((3)/(2))+c`<br/>`(2)/(3)x(1+x^(2))^((3)/(2))+c`<br/>`(x^(2))/(2) sqrt(1+x^(2))+(1)/(2)x^(2) log|x+ sqrt(1+x^(2))|+c`</p>Answer :A</body></html> | |
| 365. |
Using elementary row transformations , find the inverse of [{:(6,-3),(-2,1):}] |
| Answer» <html><body><p><br/></p>Answer :`=[{:(<a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a>,-<a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a>),(0,1):}]A"" R_(1)toR_(1)-3R_(<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>)`</body></html> | |
| 366. |
STATEMENT-1 : Ifa^(x) = b^(y) = c^(z) ,where x,y,z are unequal positive numbers and a, b,c are in G.P. , thenx^(3) + z^(3) gt 2y^(3)and STATEMENT-2 :If a, b,c are in H,P,a^(3) + c^(3) ge 2b^(3) , where a, b, c are positive real numbers . |
| Answer» <html><body><p>Statemant-1 is True , Statement-<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a> is True, Statement -2 is a <a href="https://interviewquestions.tuteehub.com/tag/correct-409949" style="font-weight:bold;" target="_blank" title="Click to know more about CORRECT">CORRECT</a> explanation for Statement-1 <br/>Statemant-1 is True , Statement-2 is True, Statement -2 is NOTa correct explanation for Statement-1 <br/>Statement-1 is True, Stetement-2 is <a href="https://interviewquestions.tuteehub.com/tag/false-459184" style="font-weight:bold;" target="_blank" title="Click to know more about FALSE">FALSE</a>.<br/>Statement-1 is False, Statement-2 is True </p>Answer :1</body></html> | |
| 367. |
The radius of the circle given by x^(2)+y^(2)+z^(2)+2x-2y-4z-19=x+2y+2z+7, is |
| Answer» <html><body><p>4<br/>3<br/>2<br/>1</p>Answer :<a href="https://interviewquestions.tuteehub.com/tag/b-387190" style="font-weight:bold;" target="_blank" title="Click to know more about B">B</a></body></html> | |
| 368. |
If A=[{:(1,0," 0"),(3, 3," 0"),(5,2,-1):}] then, adj A is |
| Answer» <html><body><p>`[{:(-<a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a>,"<a href="https://interviewquestions.tuteehub.com/tag/0-251616" style="font-weight:bold;" target="_blank" title="Click to know more about 0">0</a>","0"),("3", -<a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a>,"0"),(-9,"2",-3):}]`<br/>`[{:(0, 0,"-3"),(0, "-1",3),(3,"-2","-9"):}]`<br/>`[{:(3, 0,0),("-3", "-1",0),(9,2,"-3"):}]`<br/>`[{:(0, 0,3),(0, 1,"-3"),("-3",2,9):}]`</p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :A</body></html> | |
| 369. |
(i) One kind of cake requires 200 g of flour and 25 g of fat and another kind of cake requires 100 g of flour and 50 g of fat.Find the maximum number of cakes which can be made form 5 kg of flour and 1 kg of fat assuming that there is no shortage of the other ingredients used in making the cakes.From a linear programming problem and solve it graphically. (ii) One kind of cake requires 300 g of flour and 15 g of fat, another kind of cake requires 150 g of flour and 30 g of fat.Find the maximum number of cakes which can be made from 7.5 kg of flour and 600 g of fat assuming that there is no shortage of the other ingredients used in making the cakes. Make it as an LPP and solve it graphically. |
| Answer» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :(i) -(<a href="https://interviewquestions.tuteehub.com/tag/ii-1036832" style="font-weight:bold;" target="_blank" title="Click to know more about II">II</a>)Max. Number of <a href="https://interviewquestions.tuteehub.com/tag/cakes-907553" style="font-weight:bold;" target="_blank" title="Click to know more about CAKES">CAKES</a> = 30, 20 cakes of <a href="https://interviewquestions.tuteehub.com/tag/kind-25540" style="font-weight:bold;" target="_blank" title="Click to know more about KIND">KIND</a> one and 10 cakes of another kind.</body></html> | |
| 370. |
Consider a family of circles passing through the point (3,7) and (6,5). Answer the following questions. If the circle which belongs to the given family cuts the circle x^(2)+y^(20=29 orthogonally, then the center of that circle is |
| Answer» <html><body><p>`(1//<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>,3//2)`<br/>`(9//2,7//2)`<br/>`(7//2,9//2)`<br/>`(3,-7//9)`</p>Solution :The equation of the line passing through the points A(3,7)and B(6,5) is <br/> `y-7= - (2)/(3) (x-3)` <br/>or `2x+3y -27 =0` <br/>Also, the equation of the circle with A and B as the endpoints of <a href="https://interviewquestions.tuteehub.com/tag/diameter-950836" style="font-weight:bold;" target="_blank" title="Click to know more about DIAMETER">DIAMETER</a> is <br/> `(x-3) (x-6) +(y-7) (y-5) =0` <br/>Now, the equation of the family of circles through A and B is <br/> `(x-3)(x-6)+(y-7)(y-5)+lambda(2x+3y-27)=0`(1)<br/> If the circle <a href="https://interviewquestions.tuteehub.com/tag/belonging-395303" style="font-weight:bold;" target="_blank" title="Click to know more about BELONGING">BELONGING</a> to this family touches the x-axis , then equation `(x-3)(x-6)+(0-7)(-5)+lambda { 2x+3(0)-27}=0` has two equal roots, for which discriminanat `D=0`. It gives two values of `lambda`.<br/> The equation of the common chord of (1) and `x^(2)+y^(2)-4x-6y-3=0` is the radical axis,which is <br/> `[(x-3)(x-6)+(y-7)(y-5)+lambda(2x+3y-27)] -[x^(2)+y^(2)-4x-6y-3]=0` <br/> or `(2 lambda -5)x+(3 lambda -6)y +(-27 lambda + 56) = 0` <br/> or `(-5x-6y+56)+lambda(2x+3y-27)=0` <br/> This is the family of lines which passes through the point of intersection of `-5x-6y+56=0` and `2x+3y-27=0, i.e., (2,23//3)`.<br/> If circle `(i)` <a href="https://interviewquestions.tuteehub.com/tag/cuts-942304" style="font-weight:bold;" target="_blank" title="Click to know more about CUTS">CUTS</a> `x^(2)+y^(2)=29` orthogonally , then <br/> `0+0= -29 +56-27 lambda =0` or `<a href="https://interviewquestions.tuteehub.com/tag/lamda-536483" style="font-weight:bold;" target="_blank" title="Click to know more about LAMDA">LAMDA</a> =1` <br/> So, the required circle is `x^(2)+y^(2)-7x-9y+26=0` and the center is `(7//2,9//2)`.</body></html> | |
| 371. |
If p,q are the roots of ax^(2)-25x+c=0, then p^(3)q^(3)+p^(2)q^(3)+p^(3)q^(2)= |
| Answer» <html><body><p>`(<a href="https://interviewquestions.tuteehub.com/tag/c-7168" style="font-weight:bold;" target="_blank" title="Click to know more about C">C</a>^(<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>)(c+25))/(a^<a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a>)`<br/>`(c^(3)(c-25))/(a^3)`<br/>`(bc^3)/(a^3)`<br/>`(bc^2)/(a^2)`</p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :A</body></html> | |
| 372. |
Prove that |{:((1+ax)^(2),(1+ay)^(2),(a+az)^(2)),((1+bx)^(2),(1+by)^(2),(1+bz)^(2)),((1+cx)^(2),(1+cy)^(2),(1+cz)^(2)):}|=2(a-b)(b-c)(c-a)(x-y)(y-z)(z-x). |
| Answer» <html><body><p>`(a-b)(b-c)(c-a)`<br/>`(x-y)(y-z)(z-x)(a-b)(b-c)(c-a)`<br/>`(x-y)(y-z)(z-x)`<br/>`<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>(a-b)(b-c)(c-a)(x-h)(y-z)(z-x)`</p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :D</body></html> | |
| 373. |
I : int (1)/( cos x sin^(2) x)dx= log |tan (x)/(2)|+sec x+c II int (1)/(cos x+ sin^(2)x)dx= "cosec" x+ log |sec x + tan x|+c |
| Answer» <html><body><p>only I is <a href="https://interviewquestions.tuteehub.com/tag/true-713260" style="font-weight:bold;" target="_blank" title="Click to know more about TRUE">TRUE</a> <br/>only <a href="https://interviewquestions.tuteehub.com/tag/ii-1036832" style="font-weight:bold;" target="_blank" title="Click to know more about II">II</a> is true <br/>both I and II are true <br/><a href="https://interviewquestions.tuteehub.com/tag/neither-1113494" style="font-weight:bold;" target="_blank" title="Click to know more about NEITHER">NEITHER</a> I nor II true</p>Answer :<a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a></body></html> | |
| 374. |
A G.P. consist of 2n terms. If the sum of the terms occupying the odd places is S, and that of the terms occupying the even places is S_(2)then find the common ratio of the progression. |
| Answer» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :`(S_(<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>))/(S _(<a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a>))`</body></html> | |
| 375. |
The number of ways in which an examiner can assign 30 marks to 8 questions given not less than 2 marks to any question is |
| Answer» <html><body><p>`""^(<a href="https://interviewquestions.tuteehub.com/tag/21-293276" style="font-weight:bold;" target="_blank" title="Click to know more about 21">21</a>)C_(7)`<br/>`""^(<a href="https://interviewquestions.tuteehub.com/tag/20-287209" style="font-weight:bold;" target="_blank" title="Click to know more about 20">20</a>)C_(7)`<br/>`""^(30)C_(8)`<br/>1412</p>Answer :A</body></html> | |
| 376. |
How many different four letter words can be formed by using the four letters a,b, c, d, while the letter can be repeated ? |
| Answer» <html><body><p></p>Solution :The number of different words that can be <a href="https://interviewquestions.tuteehub.com/tag/formed-464209" style="font-weight:bold;" target="_blank" title="Click to know more about FORMED">FORMED</a> by <a href="https://interviewquestions.tuteehub.com/tag/using-7379753" style="font-weight:bold;" target="_blank" title="Click to know more about USING">USING</a> the <a href="https://interviewquestions.tuteehub.com/tag/four-464592" style="font-weight:bold;" target="_blank" title="Click to know more about FOUR">FOUR</a> letters a,<a href="https://interviewquestions.tuteehub.com/tag/b-387190" style="font-weight:bold;" target="_blank" title="Click to know more about B">B</a>,c,d, while the letter can be <a href="https://interviewquestions.tuteehub.com/tag/repeated-1185068" style="font-weight:bold;" target="_blank" title="Click to know more about REPEATED">REPEATED</a> is `4^4=256.`</body></html> | |
| 377. |
A hyperbola whose transverse axis is along the major of the conic, (x^2)/3+(y^2)/4=4 and has vertices at the foci of this conic. If the eccentricity of the hyperbola is 3/2, then which of the following points does NOT lie on it? |
| Answer» <html><body><p>`(sqrt5, <a href="https://interviewquestions.tuteehub.com/tag/2sqrt2-1838926" style="font-weight:bold;" target="_blank" title="Click to know more about 2SQRT2">2SQRT2</a>)`<br/>(0,2)<br/>`(5,<a href="https://interviewquestions.tuteehub.com/tag/2sqrt3-1838932" style="font-weight:bold;" target="_blank" title="Click to know more about 2SQRT3">2SQRT3</a>)`<br/>`(sqrt10, 2sqrt3)`</p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :C</body></html> | |
| 378. |
Evalute the following integrals int (dx)/(1 + e^(x)) |
| Answer» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :`<a href="https://interviewquestions.tuteehub.com/tag/x-746616" style="font-weight:bold;" target="_blank" title="Click to know more about X">X</a>-log(1+e^(x))+<a href="https://interviewquestions.tuteehub.com/tag/c-7168" style="font-weight:bold;" target="_blank" title="Click to know more about C">C</a>`</body></html> | |
| 379. |
If the direction cosines of a line are k,k,k , then |
| Answer» <html><body><p><a href="https://interviewquestions.tuteehub.com/tag/k-527196" style="font-weight:bold;" target="_blank" title="Click to know more about K">K</a> <a href="https://interviewquestions.tuteehub.com/tag/gt-1013864" style="font-weight:bold;" target="_blank" title="Click to know more about GT">GT</a> 0<br/> 0 lt k lt 1<br/>k=1<br/>`k=1/3` or `(-1)/<a href="https://interviewquestions.tuteehub.com/tag/sqrt3-3056952" style="font-weight:bold;" target="_blank" title="Click to know more about SQRT3">SQRT3</a>` </p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :D</body></html> | |
| 380. |
Which of the following graphs is the graph of function g(x)|x-1|-1? |
| Answer» <html><body><p><img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/GRE_MAT_MAN_PRP_C04_E02_016_O01.png" width="30%"/><br/><img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/GRE_MAT_MAN_PRP_C04_E02_016_O02.png" width="30%"/><br/><img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/GRE_MAT_MAN_PRP_C04_E02_016_O03.png" width="30%"/><br/><img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/GRE_MAT_MAN_PRP_C04_E02_016_O04.png" width="30%"/></p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :<a href="https://interviewquestions.tuteehub.com/tag/c-7168" style="font-weight:bold;" target="_blank" title="Click to know more about C">C</a></body></html> | |
| 381. |
If f: R rarr R is defined by f(x)=(x)/(x^(2)+1) find f(f(2)) |
| Answer» <html><body><p>1)<a href="https://interviewquestions.tuteehub.com/tag/29-299821" style="font-weight:bold;" target="_blank" title="Click to know more about 29">29</a><br/>2)`(29)/(<a href="https://interviewquestions.tuteehub.com/tag/10-261113" style="font-weight:bold;" target="_blank" title="Click to know more about 10">10</a>)`<br/>3)`(10)/(29)`<br/>4)`(1)/(29)`</p>Answer :<a href="https://interviewquestions.tuteehub.com/tag/c-7168" style="font-weight:bold;" target="_blank" title="Click to know more about C">C</a></body></html> | |
| 382. |
Consider a family of cirlces which are passing through the point (-1,1) andthe tangents to x- axis. If (h,k) is the centre of circle, then show that Kge1/2. |
| Answer» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :`Kge1/2`</body></html> | |
| 383. |
Joint equation of the two lines x+y=1 and x-y=4 is |
| Answer» <html><body><p>`<a href="https://interviewquestions.tuteehub.com/tag/x-746616" style="font-weight:bold;" target="_blank" title="Click to know more about X">X</a>^(2)-y^(2)=-4`<br/>`x^(2)-y^(2)=4`<br/>`(x+y-1)(x-y-4)=0`<br/>`(x+y+1)(x-y+4)=0`</p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :<a href="https://interviewquestions.tuteehub.com/tag/c-7168" style="font-weight:bold;" target="_blank" title="Click to know more about C">C</a></body></html> | |
| 384. |
If 3 dice are rolled, find the probability that either sum is 16 or they show different numbers. |
| Answer» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :`(<a href="https://interviewquestions.tuteehub.com/tag/7-332378" style="font-weight:bold;" target="_blank" title="Click to know more about 7">7</a>)/(<a href="https://interviewquestions.tuteehub.com/tag/12-269062" style="font-weight:bold;" target="_blank" title="Click to know more about 12">12</a>)`</body></html> | |
| 385. |
Assertion (A) : thesumand product of the slopes of the tangents to the ellipse (x^2)/(9)+(y^2)/(4)=1 drawn from the points (6,-2) are -8/9,1.Reason(R): if m_(1),m_(2)are the slopes of the tangents through(x_(1),y_(1))of the ellipse, then m_(1)+m_(2)=(2x_(1).y_(1))/(x_(1)^(2)-a^(2))m_(1).m_(2)=(y_(1)^(2)-b^(2))/(x_(1)^(2)-a^(2)) |
| Answer» <html><body><p> A <a href="https://interviewquestions.tuteehub.com/tag/true-713260" style="font-weight:bold;" target="_blank" title="Click to know more about TRUE">TRUE</a>, R true & R is <a href="https://interviewquestions.tuteehub.com/tag/correct-409949" style="font-weight:bold;" target="_blank" title="Click to know more about CORRECT">CORRECT</a> exp. of A<br/>A true, R true & R is not correct explanation of A<br/>A true, R false<br/>A false, R true</p>Answer :D</body></html> | |
| 386. |
Assertion (A) : A question paper contains 5 questions each having an alternative. The number of ways that an examinee can answer one or more questions is 242. Reason (R): The number of ways of answering one or more of n questions when each question have an alternative is 3^(n)-1. The correct answer is |
| Answer» <html><body><p>Both A and R are <a href="https://interviewquestions.tuteehub.com/tag/true-713260" style="font-weight:bold;" target="_blank" title="Click to know more about TRUE">TRUE</a> and R is the <a href="https://interviewquestions.tuteehub.com/tag/correct-409949" style="font-weight:bold;" target="_blank" title="Click to know more about CORRECT">CORRECT</a> explanation of A<br/>Both A and R are true but R is not correct explanation of A<br/>A is true but R is false<br/>A is false but R is true </p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :A</body></html> | |
| 387. |
Let three positive numbers a, b c are in geometric progression, such that a, b+8, c are in arithmetic progression and a, b+8, c+64 are in geometric progression. If the arithmetic mean of a, b, c is k, then (3)/(13)k is equal to |
| Answer» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :<a href="https://interviewquestions.tuteehub.com/tag/4-311707" style="font-weight:bold;" target="_blank" title="Click to know more about 4">4</a></body></html> | |
| 388. |
The mean of a set of 30 observations is 75. If each observations is multiplied by a non-zero numberse lambda and then each observations is decreased by 25, their mean remains the same. Thenlambdais equal to |
| Answer» <html><body><p>`( 1)/(3)` <br/>` ( 2)/(3)`<br/>` ( 4)/(3)` <br/>` ( <a href="https://interviewquestions.tuteehub.com/tag/10-261113" style="font-weight:bold;" target="_blank" title="Click to know more about 10">10</a> )/(3)` </p>Answer :<a href="https://interviewquestions.tuteehub.com/tag/c-7168" style="font-weight:bold;" target="_blank" title="Click to know more about C">C</a></body></html> | |
| 389. |
Find the value of a,b,c,x,y and z. [{:(x+3,z+4,2y-7),(4x+6,a-1,0),(b-3,3b,z+ac):}]=[{:(0,6,3y+2),(2x,-3,2c+2),(2b+4,-21,0):}] |
| Answer» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :`a=-2,b=-7,c=-1,x=-3,y=-5,z=-2`</body></html> | |
| 390. |
int_(0)^(pi//2) (3 Sec x + 5 cosec x)/(Sec x + cosec x) dx= |
| Answer» <html><body><p>`<a href="https://interviewquestions.tuteehub.com/tag/pi-600185" style="font-weight:bold;" target="_blank" title="Click to know more about PI">PI</a>`<br/>`<a href="https://interviewquestions.tuteehub.com/tag/4pi-1882352" style="font-weight:bold;" target="_blank" title="Click to know more about 4PI">4PI</a>`<br/>`<a href="https://interviewquestions.tuteehub.com/tag/6pi-1912514" style="font-weight:bold;" target="_blank" title="Click to know more about 6PI">6PI</a>`<br/>`<a href="https://interviewquestions.tuteehub.com/tag/2pi-1838601" style="font-weight:bold;" target="_blank" title="Click to know more about 2PI">2PI</a>`</p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :D</body></html> | |
| 391. |
R is a relation from {11, 12, 13} to {8, 10, 12} defined by y=x-3. Then R^(-1) is |
| Answer» <html><body><p>`{(8,11),(10,13)}`<br/>`{(11,8),(13,10)}`<br/>`{(10,13),(8,10)}`<br/>`{(11,8),(10,13),(12,15)}`</p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :A</body></html> | |
| 392. |
Find the value of a if,lim_(xto0)(tanax)/(sin2x)=1 |
| Answer» <html><body><p></p>Solution :`lim_(xto0)(tanax)/(sin2x)=<a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a>`<br/>`implieslim_(xto0)((tanax)/(ax)<a href="https://interviewquestions.tuteehub.com/tag/xxa-3292697" style="font-weight:bold;" target="_blank" title="Click to know more about XXA">XXA</a>)/((sin2x)/(<a href="https://interviewquestions.tuteehub.com/tag/2x-301182" style="font-weight:bold;" target="_blank" title="Click to know more about 2X">2X</a>)xx2)=1`<br/>`a/2=1impliesa=2`</body></html> | |
| 393. |
If A (1,2,3), B (2,3,1), C (3,1,2) then the length of the altitude through C is |
| Answer» <html><body><p><a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a><br/>`3 <a href="https://interviewquestions.tuteehub.com/tag/sqrt-1223129" style="font-weight:bold;" target="_blank" title="Click to know more about SQRT">SQRT</a>(3)`<br/>`3 sqrt(<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>)`<br/>`3// sqrt(2)`</p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :D</body></html> | |
| 394. |
Find the coefficient of x^15 in the expansion of (2x^12 - (3)/(x^3) )^5 |
| Answer» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :`-<a href="https://interviewquestions.tuteehub.com/tag/1080-1773411" style="font-weight:bold;" target="_blank" title="Click to know more about 1080">1080</a>`</body></html> | |
| 395. |
Let AX=B where A is 3 xx 3 and X and B are 3 xx 1 matrices then which of the following is correct? |
| Answer» <html><body><p>If |A|=0 then AX=B has <a href="https://interviewquestions.tuteehub.com/tag/infinite-515764" style="font-weight:bold;" target="_blank" title="Click to know more about INFINITE">INFINITE</a> solutions<br/>If AX=B has infinite solutions then |A|=0<br/>If (<a href="https://interviewquestions.tuteehub.com/tag/adj-849939" style="font-weight:bold;" target="_blank" title="Click to know more about ADJ">ADJ</a> (A))B=0 `|A|ne0` then AX=B has unique solutions<br/>If (adj (A))<a href="https://interviewquestions.tuteehub.com/tag/bne0-2477399" style="font-weight:bold;" target="_blank" title="Click to know more about BNE0">BNE0</a> `|A|ne0` then AX=B has no solution</p>Answer :B::C::D</body></html> | |
| 396. |
The tangents at (5,12) and (12,-5) to the circle x^(2)+y^(2)=169 are |
| Answer» <html><body><p>coincident<br/>perpendicular<br/>parallel<br/>at an <a href="https://interviewquestions.tuteehub.com/tag/angle-875388" style="font-weight:bold;" target="_blank" title="Click to know more about ANGLE">ANGLE</a> of `<a href="https://interviewquestions.tuteehub.com/tag/45-316951" style="font-weight:bold;" target="_blank" title="Click to know more about 45">45</a>^(@)`</p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :<a href="https://interviewquestions.tuteehub.com/tag/b-387190" style="font-weight:bold;" target="_blank" title="Click to know more about B">B</a></body></html> | |
| 397. |
A tube of uniform cross sectional sectional area 1 cm^(2) is closed at one end with semi permeable membrane. A solution having 6g glucose per 100 ml is placed inside the tube and dipped in pure water at 27^(@)C. When the equilibrium is established, what will be the osmotic pressure, height developed in vertical column (in meters). Density of glucose solution is 1 gm/ml. (Take R =0.08 L atm mol^(-1) k^(-1), density of Hg=13.8 g/cc) |
| Answer» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :`0.2.5`</body></html> | |
| 398. |
Evaluate int (1)/(4x + 3x -2x^(2)) dx |
| Answer» <html><body><p><br/></p>Answer :`(1)/(<a href="https://interviewquestions.tuteehub.com/tag/sqrt-1223129" style="font-weight:bold;" target="_blank" title="Click to know more about SQRT">SQRT</a>(<a href="https://interviewquestions.tuteehub.com/tag/41-315990" style="font-weight:bold;" target="_blank" title="Click to know more about 41">41</a>)) "log" |(sqrt(41) - <a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a> + <a href="https://interviewquestions.tuteehub.com/tag/4x-319255" style="font-weight:bold;" target="_blank" title="Click to know more about 4X">4X</a>)/(sqrt(41)+ 3 - 4x)| + <a href="https://interviewquestions.tuteehub.com/tag/c-7168" style="font-weight:bold;" target="_blank" title="Click to know more about C">C</a>`</body></html> | |
| 399. |
If the area of the triangle with vertices (-2, 0) (0, 4) and (0,k) is 4 square units. Find the value of k using determinants. |
| Answer» <html><body><p><br/></p><a href="https://interviewquestions.tuteehub.com/tag/answer-15557" style="font-weight:bold;" target="_blank" title="Click to know more about ANSWER">ANSWER</a> :`<a href="https://interviewquestions.tuteehub.com/tag/therefore-706901" style="font-weight:bold;" target="_blank" title="Click to know more about THEREFORE">THEREFORE</a> k=0,8`</body></html> | |
| 400. |
If a,b,c are in A.P. and if the equations(b - c) x^(2) + (c - a) x + (a - b) = 0"" (1)and 2(c +a) x^(2) + (b+ c) x = 0"" (2) have a common root, then |
| Answer» <html><body><p>`a^(<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>), <a href="https://interviewquestions.tuteehub.com/tag/b-387190" style="font-weight:bold;" target="_blank" title="Click to know more about B">B</a>^(2), <a href="https://interviewquestions.tuteehub.com/tag/c-7168" style="font-weight:bold;" target="_blank" title="Click to know more about C">C</a>^(2)` are in A.P.<br/>`a^(2), c^(2), b^(2)` are in A.P.<br/>`c^(2), a^(2), b^(2)` are in A.P.<br/>none of these</p>Answer :B</body></html> | |