28278 + Interview Questions in Maths in Class 12 Page 566 InterviewSolution

28251.	If the velocity of a particle movingalong a straight line is directly proportional to the square of its distance from a fixedpoint on the line . Then its acceleration is proportional to ………………….
Answer» <html><body><p>s<br/>`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>)`<br/>`s^(<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/>`s^(<a href="https://interviewquestions.tuteehub.com/tag/4-311707" style="font-weight:bold;" target="_blank" title="Click to know more about 4">4</a>)`</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>::C</body></html>

Discussion

28252.	Determine the maximum value of z = 11x + 7y subject to the constraints : 2x+y le 6, x le 2, x ge 0, y ge 0
Answer» <html><body><p><br/></p>Answer :The maximum value of objective function z is 42 at <a href="https://interviewquestions.tuteehub.com/tag/corner-409931" style="font-weight:bold;" target="_blank" title="Click to know more about CORNER">CORNER</a> <a href="https://interviewquestions.tuteehub.com/tag/point-1157106" style="font-weight:bold;" target="_blank" title="Click to know more about POINT">POINT</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>, <a href="https://interviewquestions.tuteehub.com/tag/6-327005" style="font-weight:bold;" target="_blank" title="Click to know more about 6">6</a>)</body></html>

Discussion

28253.	Solve ( 1+e^(x).y) dx + xe^(x) dy = 0
Answer»

Discussion

28254.	If a random variable X can take all non- negative integral values and the probability that X takes the value r is proportional to alpha^(r)(0 lt alpha lt 1) then P(X = 0) is ………..
Answer» <html><body><p>`<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/alpha-858274" style="font-weight:bold;" target="_blank" title="Click to know more about ALPHA">ALPHA</a>`<br/>`alpha`<br/>`(alpha)/(<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/>`alpha^(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>

Discussion

28255.	Find the area lying above x-axis and included between the circle x^(2) + y^(2) = 8x and inside the parabola y^(2) = 4x.
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> :`4/3(8+3pi)`</body></html>

Discussion

28256.	Evaluate the following determinates \|{:("2","-1","-2"),("0",2,"-1"),(3,"-5","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 href="https://interviewquestions.tuteehub.com/tag/5-319454" style="font-weight:bold;" target="_blank" title="Click to know more about 5">5</a></body></html>

Discussion

28257.	Differentiate the functions x^(x)-2^(sin 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>^(x) (1 + <a href="https://interviewquestions.tuteehub.com/tag/log-543719" style="font-weight:bold;" target="_blank" title="Click to know more about LOG">LOG</a> x)- <a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>^(sin x).cos x.log2`</body></html>

Discussion

28258.	LetH:(x^(2))/(a^(2))-(y^(2))/(b^(2))=1, where a gt b gt 0, be a hperbola in the xy-plane whose conjugate axis LM subtends and angle of 60^(@) at one of its vertices N. Let the area of the triangle LMN be 4sqrt3. The correct option is :
Answer» <html><body><p>`PrarrIV, QrarrII, R rarrI,SrarrIII`<br/>`PrarrIV,QrarrIII,R rarrI, SrarrII`<br/>`PrarrIV,QrarrI,R rarrIII, SrarrII`<br/>`PrarrIII, QrarrIV,R rarrII, S rarrI`</p>Solution :<img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/CEN_CG_C07_E15_005_S01.png" width="80%"/><br/> `" Area of " DeltaLMN=4sqrt3` <br/> `(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>)(<a href="https://interviewquestions.tuteehub.com/tag/2b-300274" style="font-weight:bold;" target="_blank" title="Click to know more about 2B">2B</a>)(sqrt3b)=4sqrt3` <br/> `rArr""b^(2)=4rArrb=2rArr2b=4` <br/> Here, `(a)/(b)=cot 30^(@)rArra=sqrt3b rArra=2sqrt3` <br/> Now, `b^(2)=a^(2)(<a href="https://interviewquestions.tuteehub.com/tag/e-444102" style="font-weight:bold;" target="_blank" title="Click to know more about E">E</a>^(2)-1)` <br/> `therefore""4=12(e^(2)-1)` <br/> `rArr""e^(2)=1+(1)/(3)=(4)/(3)` <br/> `rArr""e=(2)/(<a href="https://interviewquestions.tuteehub.com/tag/sqrt3-3056952" style="font-weight:bold;" target="_blank" title="Click to know more about SQRT3">SQRT3</a>)` <br/> `"Distance between foci"=2ae=2xx2sqrt3xx(2)/(sqrt3)=8` <br/> `"<a href="https://interviewquestions.tuteehub.com/tag/lenght-1071520" style="font-weight:bold;" target="_blank" title="Click to know more about LENGHT">LENGHT</a> of latus rectum "=(2b^(2))/(a)=(2xx4)/(2sqrt3)=(4)/(sqrt3)`</body></html>

Discussion

28259.	int (1)/(sin(x-a)sin (x-b))dx=
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/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a>)/(<a href="https://interviewquestions.tuteehub.com/tag/sin-1208945" style="font-weight:bold;" target="_blank" title="Click to know more about SIN">SIN</a>(b-a))<a href="https://interviewquestions.tuteehub.com/tag/log-543719" style="font-weight:bold;" target="_blank" title="Click to know more about LOG">LOG</a>\|(sin(x-a))/(sin(x-b))\|+<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>

Discussion

28260.	The vlaues of k for which the circles x ^(2) + y ^(2) =1 and x ^(2) + y ^(2) - 4x +k=0 have two comon tangents is
Answer» <html><body><p>`(- (9)/(4), (9)/(4))`<br/>`(-<a href="https://interviewquestions.tuteehub.com/tag/oo-583684" style="font-weight:bold;" target="_blank" title="Click to know more about OO">OO</a>, - (9)/(4)) <a href="https://interviewquestions.tuteehub.com/tag/uu-719078" style="font-weight:bold;" target="_blank" title="Click to know more about UU">UU</a> ((9)/(4) , oo)` <br/>`(-oo, - (9)/(4)] uu [ (9)/(4) , oo)`<br/><a href="https://interviewquestions.tuteehub.com/tag/none-580659" style="font-weight:bold;" target="_blank" title="Click to know more about NONE">NONE</a> of these </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>

Discussion

28261.	The two equal sides of an isosceles triangle with fixed base b are decreasing atthe rate of 3 cm per second. How fast is the area decreasing when the two equalsides are equal to the base ?
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> :`bsqrt(<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/cm-919986" style="font-weight:bold;" target="_blank" title="Click to know more about CM">CM</a>^(3)//s`</body></html>

Discussion

28262.	Whichof the statement(s)is / are incorrect ?
Answer» <html><body><p>if f+<a href="https://interviewquestions.tuteehub.com/tag/g-1003017" style="font-weight:bold;" target="_blank" title="Click to know more about G">G</a> is continuousat <a href="https://interviewquestions.tuteehub.com/tag/x-746616" style="font-weight:bold;" target="_blank" title="Click to know more about X">X</a>=a , thenf andg arecontinuousat x=a .<br/>`if lim_ (x to a)(fg) ` exists , <a href="https://interviewquestions.tuteehub.com/tag/thenboth-3200986" style="font-weight:bold;" target="_blank" title="Click to know more about THENBOTH">THENBOTH</a>` lim_( x to a ) f and lim_ (x to a)` g <a href="https://interviewquestions.tuteehub.com/tag/exist-979486" style="font-weight:bold;" target="_blank" title="Click to know more about EXIST">EXIST</a> <br/>Discontinuityat `x= a implies ` non - existenceof limit.<br/>Allfunctiondefinfed on a closed intervalattainamaximumorminimum <a href="https://interviewquestions.tuteehub.com/tag/valuein-3254947" style="font-weight:bold;" target="_blank" title="Click to know more about VALUEIN">VALUEIN</a> thatinterval.</p>Answer :A::B::C::D</body></html>

Discussion

28263.	Integrate the functions ((x-3)e^(x))/((x-1)^(3))
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/e-444102" style="font-weight:bold;" target="_blank" title="Click to know more about E">E</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>))/((x-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>))+<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>

Discussion

28264.	The value of alpha for which the shortest distance between the lines represented by y+z=0,z+x=0 and x+y=0,x+y+z=alpha is 1, is:
Answer» <html><body><p>`<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/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</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>))`<br/>`sqrt((3)/(<a href="https://interviewquestions.tuteehub.com/tag/5-319454" style="font-weight:bold;" target="_blank" title="Click to know more about 5">5</a>))`<br/>`sqrt((2)/(3))`<br/>`sqrt((5)/(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> :A</body></html>

Discussion

28265.	The positive integer n for which 2 . 2^(2) + 3 . 2^(3) + 4 . 2^(4) + ...............n . 2^(n) = 2^(n+10)is
Answer» <html><body><p>510<br/>511<br/>512<br/>513</p>Answer :D</body></html>

Discussion

28266.	Find three positive integers x_i,i=1,1,3 "satisfying" 3x -= 2 "(mod 7)"
Answer» <html><body><p></p>Solution :`<a href="https://interviewquestions.tuteehub.com/tag/3x-310805" style="font-weight:bold;" target="_blank" title="Click to know more about 3X">3X</a> -= 2 "<a href="https://interviewquestions.tuteehub.com/tag/mod-1099162" style="font-weight:bold;" target="_blank" title="Click to know more about MOD">MOD</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>` <br/>Least <a href="https://interviewquestions.tuteehub.com/tag/positive-1159908" style="font-weight:bold;" target="_blank" title="Click to know more about POSITIVE">POSITIVE</a> value of x=3 <br/> Each <a href="https://interviewquestions.tuteehub.com/tag/member-1093105" style="font-weight:bold;" target="_blank" title="Click to know more about MEMBER">MEMBER</a> of [3] is a solution <br/>`:. x=3, 10,17……….`</body></html>

Discussion

28267.	Find f'(x) if f(x)= (sin x)^(sin x) for all 0 lt x lt pi.
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/log-543719" style="font-weight:bold;" target="_blank" title="Click to know more about LOG">LOG</a> sin <a href="https://interviewquestions.tuteehub.com/tag/x-746616" style="font-weight:bold;" target="_blank" title="Click to know more about X">X</a>) (sin x)^(sin x) cos x`</body></html>

Discussion

28268.	Integrate the following functions : cos(logx)
Answer» <html><body><p><br/></p>Answer :`(x)/(2)[<a href="https://interviewquestions.tuteehub.com/tag/cos-935872" style="font-weight:bold;" target="_blank" title="Click to know more about COS">COS</a>(<a href="https://interviewquestions.tuteehub.com/tag/logx-1077950" style="font-weight:bold;" target="_blank" title="Click to know more about LOGX">LOGX</a>)+<a href="https://interviewquestions.tuteehub.com/tag/sin-1208945" style="font-weight:bold;" target="_blank" title="Click to know more about SIN">SIN</a>(logx)]+<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>

Discussion

28269.	If overline(a), overline(b), overline(c) are non-coplanar and the vectors overline(p)=2overline(a)-4overline(b)+4overline(c), overline(q)=overline(a)+moverline(b)+4overline(c),overline(r)=-overline(a)+2overline(b)+4overline(c) are collinear then m=
Answer» <html><body><p>`<a href="https://interviewquestions.tuteehub.com/tag/6-327005" style="font-weight:bold;" target="_blank" title="Click to know more about 6">6</a>`<br/>`-6`<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>`<br/>`-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 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>

Discussion

28270.	If {:A*[(7,6,-1),(4,2,3),(1,3,0)]:}={:[(4,2,3),(1,3,0),(7,6,-1)]:}, then A =
Answer» <html><body><p>`{:[(1,0,0),(0,1,0),(0,0,1)]:}`<br/>`{:[(1,0,0),(0,0,1),(0,0,1)]:}`<br/>`{:[(0,1,0),(0,0,1),(1,0,0)]:}`<br/>`{:[(0,1,0),(0,0,1),(0,0,1)]:}`</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>

Discussion

28271.	Let p,q, r denote respectively the statements :" you are honest ", "you are laborious ", " you will receive a promotion " Translate ~~(p vv q) rarr~~rstatements into English language .
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> :If you are <a href="https://interviewquestions.tuteehub.com/tag/neither-1113494" style="font-weight:bold;" target="_blank" title="Click to know more about NEITHER">NEITHER</a> <a href="https://interviewquestions.tuteehub.com/tag/honest-480284" style="font-weight:bold;" target="_blank" title="Click to know more about HONEST">HONEST</a> nor laborious then you will receive a <a href="https://interviewquestions.tuteehub.com/tag/promotion-1169623" style="font-weight:bold;" target="_blank" title="Click to know more about PROMOTION">PROMOTION</a>.</body></html>

Discussion

28272.	Out of 100 students, two sections of 40 are 60 an formed. If you and your friend are among the 100 students, find the probability that i) You both enter the same section. ii) You both enter the different sections.
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/17-278001" style="font-weight:bold;" target="_blank" title="Click to know more about 17">17</a>)/(<a href="https://interviewquestions.tuteehub.com/tag/33-307818" style="font-weight:bold;" target="_blank" title="Click to know more about 33">33</a>)` `(<a href="https://interviewquestions.tuteehub.com/tag/ii-1036832" style="font-weight:bold;" target="_blank" title="Click to know more about II">II</a>) (<a href="https://interviewquestions.tuteehub.com/tag/16-276476" style="font-weight:bold;" target="_blank" title="Click to know more about 16">16</a>)/(33)`</body></html>

Discussion

28273.	Find the area of the smaller region bounded by the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1 and the line (x)/(a) + (y)/(b) = 1.
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/ab-360636" style="font-weight:bold;" target="_blank" title="Click to know more about AB">AB</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>) (pi-2)`</body></html>

Discussion

28274.	If A is a square matrix of order 3 such that A^(2)= 2A then \|A\|^(2) is equal to
Answer» <html><body><p>`2\|A\|` <br/>`8\|A\|` <br/>`16\|A\|` <br/>0</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>

Discussion

28275.	A and B are two candidates seeking admission in IIT. The probability that A is selected is 0.5 and the probability that both A and B are selected is at most 0.3. Then
Answer» <html><body><p><<a href="https://interviewquestions.tuteehub.com/tag/p-588962" style="font-weight:bold;" target="_blank" title="Click to know more about P">P</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> <a href="https://interviewquestions.tuteehub.com/tag/le-540308" style="font-weight:bold;" target="_blank" title="Click to know more about LE">LE</a> P(<a href="https://interviewquestions.tuteehub.com/tag/b-387190" style="font-weight:bold;" target="_blank" title="Click to know more about B">B</a>) le 0.3`<br/>`0 le P(B) le 0.6`<br/>`0.3 le P(B) le 0.9`<br/>`0.6 le P(B) le 0.9`</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> :B</body></html>

Discussion

28276.	In a binomial distribution consistingof 5 independent trials, the probability of 1 and 2 successes are 0.4096 and 0.2048 respectively. Find the mean andvariance of the random variables.
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/mean-1091459" style="font-weight:bold;" target="_blank" title="Click to know more about MEAN">MEAN</a> = <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/variance-1443227" style="font-weight:bold;" target="_blank" title="Click to know more about VARIANCE">VARIANCE</a> = `4/5`</body></html>

Discussion

28277.	A box contains 100 tickets, numbered 1,2,….100. Two tickets are chosen at random . It is given that the maximum number on the two chosen tickets is not more than 10. The minimum number of them is 5 with probability
Answer» <html><body><p>`11//15`<br/>13/17<br/>`13//17`<br/>`13//19`</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>

Discussion

28278.	If f(x) is the primitive of (sin 3sqrt(x)log(1+3x))/((tan^(-1)sqrt(x))^(2)(e^(3sqrt(x))-1)) (xne0) then underset(xrarr0)lim f'(x) is
Answer» <html><body><p><a href="https://interviewquestions.tuteehub.com/tag/0-251616" style="font-weight:bold;" target="_blank" title="Click to know more about 0">0</a><br/>`3/5`<br/>`5/3`<br/><a href="https://interviewquestions.tuteehub.com/tag/none-580659" style="font-weight:bold;" target="_blank" title="Click to know more about NONE">NONE</a> of these</p>Answer :D</body></html>

Discussion

Explore topic-wise InterviewSolutions in Class 12.

If the velocity of a particle movingalong a straight line is directly proportional to the square of its distance from a fixedpoint on the line . Then its acceleration is proportional to ………………….

Determine the maximum value of z = 11x + 7y subject to the constraints : 2x+y le 6, x le 2, x ge 0, y ge 0

Solve ( 1+e^(x).y) dx + xe^(x) dy = 0

If a random variable X can take all non- negative integral values and the probability that X takes the value r is proportional to alpha^(r)(0 lt alpha lt 1) then P(X = 0) is ………..

Find the area lying above x-axis and included between the circle x^(2) + y^(2) = 8x and inside the parabola y^(2) = 4x.

Evaluate the following determinates |{:("2","-1","-2"),("0",2,"-1"),(3,"-5","0"):}|

Differentiate the functions x^(x)-2^(sin x)

LetH:(x^(2))/(a^(2))-(y^(2))/(b^(2))=1, where a gt b gt 0, be a hperbola in the xy-plane whose conjugate axis LM subtends and angle of 60^(@) at one of its vertices N. Let the area of the triangle LMN be 4sqrt3. The correct option is :

int (1)/(sin(x-a)sin (x-b))dx=

The vlaues of k for which the circles x ^(2) + y ^(2) =1 and x ^(2) + y ^(2) - 4x +k=0 have two comon tangents is

The two equal sides of an isosceles triangle with fixed base b are decreasing atthe rate of 3 cm per second. How fast is the area decreasing when the two equalsides are equal to the base ?

Whichof the statement(s)is / are incorrect ?

Integrate the functions ((x-3)e^(x))/((x-1)^(3))

The value of alpha for which the shortest distance between the lines represented by y+z=0,z+x=0 and x+y=0,x+y+z=alpha is 1, is:

The positive integer n for which 2 . 2^(2) + 3 . 2^(3) + 4 . 2^(4) + ...............n . 2^(n) = 2^(n+10)is

Find three positive integers x_i,i=1,1,3 "satisfying" 3x -= 2 "(mod 7)"

Find f'(x) if f(x)= (sin x)^(sin x) for all 0 lt x lt pi.

Integrate the following functions : cos(logx)

If overline(a), overline(b), overline(c) are non-coplanar and the vectors overline(p)=2overline(a)-4overline(b)+4overline(c), overline(q)=overline(a)+moverline(b)+4overline(c),overline(r)=-overline(a)+2overline(b)+4overline(c) are collinear then m=

If {:A*[(7,6,-1),(4,2,3),(1,3,0)]:}={:[(4,2,3),(1,3,0),(7,6,-1)]:}, then A =

Let p,q, r denote respectively the statements :" you are honest ", "you are laborious ", " you will receive a promotion " Translate (p vv q) rarrrstatements into English language .

Out of 100 students, two sections of 40 are 60 an formed. If you and your friend are among the 100 students, find the probability that i) You both enter the same section. ii) You both enter the different sections.

Find the area of the smaller region bounded by the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1 and the line (x)/(a) + (y)/(b) = 1.

If A is a square matrix of order 3 such that A^(2)= 2A then |A|^(2) is equal to

A and B are two candidates seeking admission in IIT. The probability that A is selected is 0.5 and the probability that both A and B are selected is at most 0.3. Then

In a binomial distribution consistingof 5 independent trials, the probability of 1 and 2 successes are 0.4096 and 0.2048 respectively. Find the mean andvariance of the random variables.

A box contains 100 tickets, numbered 1,2,….100. Two tickets are chosen at random . It is given that the maximum number on the two chosen tickets is not more than 10. The minimum number of them is 5 with probability

If f(x) is the primitive of (sin 3sqrt(x)log(1+3x))/((tan^(-1)sqrt(x))^(2)(e^(3sqrt(x))-1)) (xne0) then underset(xrarr0)lim f'(x) is

Explore topic-wise InterviewSolutions in Class 12.

If the velocity of a particle movingalong a straight line is directly proportional to the square of its distance from a fixedpoint on the line . Then its acceleration is proportional to ………………….

Determine the maximum value of z = 11x + 7y subject to the constraints : 2x+y le 6, x le 2, x ge 0, y ge 0

Solve ( 1+e^(x).y) dx + xe^(x) dy = 0

If a random variable X can take all non- negative integral values and the probability that X takes the value r is proportional to alpha^(r)(0 lt alpha lt 1) then P(X = 0) is ………..

Find the area lying above x-axis and included between the circle x^(2) + y^(2) = 8x and inside the parabola y^(2) = 4x.

Evaluate the following determinates |{:("2","-1","-2"),("0",2,"-1"),(3,"-5","0"):}|

Differentiate the functions x^(x)-2^(sin x)

LetH:(x^(2))/(a^(2))-(y^(2))/(b^(2))=1, where a gt b gt 0, be a hperbola in the xy-plane whose conjugate axis LM subtends and angle of 60^(@) at one of its vertices N. Let the area of the triangle LMN be 4sqrt3. The correct option is :

int (1)/(sin(x-a)sin (x-b))dx=

The vlaues of k for which the circles x ^(2) + y ^(2) =1 and x ^(2) + y ^(2) - 4x +k=0 have two comon tangents is

The two equal sides of an isosceles triangle with fixed base b are decreasing atthe rate of 3 cm per second. How fast is the area decreasing when the two equalsides are equal to the base ?

Whichof the statement(s)is / are incorrect ?

Integrate the functions ((x-3)e^(x))/((x-1)^(3))

The value of alpha for which the shortest distance between the lines represented by y+z=0,z+x=0 and x+y=0,x+y+z=alpha is 1, is:

The positive integer n for which 2 . 2^(2) + 3 . 2^(3) + 4 . 2^(4) + ...............n . 2^(n) = 2^(n+10)is

Find three positive integers x_i,i=1,1,3 "satisfying" 3x -= 2 "(mod 7)"

Find f'(x) if f(x)= (sin x)^(sin x) for all 0 lt x lt pi.

Integrate the following functions : cos(logx)

If overline(a), overline(b), overline(c) are non-coplanar and the vectors overline(p)=2overline(a)-4overline(b)+4overline(c), overline(q)=overline(a)+moverline(b)+4overline(c),overline(r)=-overline(a)+2overline(b)+4overline(c) are collinear then m=

If {:A*[(7,6,-1),(4,2,3),(1,3,0)]:}={:[(4,2,3),(1,3,0),(7,6,-1)]:}, then A =

Let p,q, r denote respectively the statements :" you are honest ", "you are laborious ", " you will receive a promotion " Translate ~~(p vv q) rarr~~rstatements into English language .

Out of 100 students, two sections of 40 are 60 an formed. If you and your friend are among the 100 students, find the probability that i) You both enter the same section. ii) You both enter the different sections.

Find the area of the smaller region bounded by the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1 and the line (x)/(a) + (y)/(b) = 1.

If A is a square matrix of order 3 such that A^(2)= 2A then |A|^(2) is equal to

A and B are two candidates seeking admission in IIT. The probability that A is selected is 0.5 and the probability that both A and B are selected is at most 0.3. Then

In a binomial distribution consistingof 5 independent trials, the probability of 1 and 2 successes are 0.4096 and 0.2048 respectively. Find the mean andvariance of the random variables.

A box contains 100 tickets, numbered 1,2,….100. Two tickets are chosen at random . It is given that the maximum number on the two chosen tickets is not more than 10. The minimum number of them is 5 with probability

If f(x) is the primitive of (sin 3sqrt(x)log(1+3x))/((tan^(-1)sqrt(x))^(2)(e^(3sqrt(x))-1)) (xne0) then underset(xrarr0)lim f'(x) is

Let p,q, r denote respectively the statements :" you are honest ", "you are laborious ", " you will receive a promotion " Translate (p vv q) rarrrstatements into English language .