Explore topic-wise InterviewSolutions in Class 12.

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.

28051.

The shortest destance between vecr = veca_1 + lambdavecb and vecr = veca_2 + muvecb is abs((vecbxx(veca_2-veca_1))/absvecb)

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> :T</body></html>
Discussion
28052.

A couple has two children. Find the probability that both children are males, if it is known that atleast one of the children is male. ii. Find the probability that both children are females, if it is known that the eIder chiId is a female.

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/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>)` (<a href="https://interviewquestions.tuteehub.com/tag/ii-1036832" style="font-weight:bold;" target="_blank" title="Click to know more about II">II</a>) `(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>)`</body></html>
Discussion
28053.

If a coin is tossed twice and X is the number of tails, then var(X)=

Answer» <html><body><p>0<br/>1<br/>`1/2`<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> :<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
28054.

Locate the position of the point P with respect to the circle S =0 whenP ( 1,2) and S = x^(2) +y^(2) + 6x + 8y -96

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/interior-1048275" style="font-weight:bold;" target="_blank" title="Click to know more about INTERIOR">INTERIOR</a></body></html>
Discussion
28055.

Find the values of k so that the function f is continuous at the indicated point f(x)= {(kx+1",","if" x le 5),(3x-5",","if" x gt 5):} at x=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/k-527196" style="font-weight:bold;" target="_blank" title="Click to know more about K">K</a>= (<a href="https://interviewquestions.tuteehub.com/tag/9-340408" style="font-weight:bold;" target="_blank" title="Click to know more about 9">9</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
28056.

Two tangents OA and OB are drawn to the circle x^(2)+y^(2)+4x+6y+12=0from origin O. The circumradius of DeltaOAB 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>)/(2)` <br/>1<br/>2<br/>`(<a href="https://interviewquestions.tuteehub.com/tag/sqrt-1223129" style="font-weight:bold;" target="_blank" title="Click to know more about SQRT">SQRT</a>(13))/(2)` </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> :Circum radius `=(sqrt((0+2)^(2)+(0+3)^(2)))/(2)=(sqrt(13))/(2)`<a href="https://interviewquestions.tuteehub.com/tag/unit-1438166" style="font-weight:bold;" target="_blank" title="Click to know more about UNIT">UNIT</a> <br/> <img src="https://doubtnut-static.s.llnwi.net/static/physics_images/VMC_JEE_MN_XI_FLT_05_E03_020_S01.png" width="80%"/></body></html>
Discussion
28057.

Let U=R. If A={x inR:0ltxlt2},B={x inR:1ltxle3}, Which of the following is false?

Answer» <html><body><p>`A'={x <a href="https://interviewquestions.tuteehub.com/tag/inr-499299" style="font-weight:bold;" target="_blank" title="Click to know more about INR">INR</a>:xle0orxge2}` <br/>`B'={x inR:xle1orxgt3}` <br/>`AuuB={x inR:0lexle3}` <br/>`AuuB={x inR:1ltxlt2}` </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
28058.

Integrate the functions (sinx)/((1+cosx)^(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> :`<a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a>/(1+cosx)+<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
28059.

Argument of ((1+i)(sqrt(3)+i))/((i-sqrt(3))(1-i)) is

Answer» <html><body><p>`(pi)/(3)`<br/>`(pi)/(<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/>`(-pi)/(6)`<br/>`<a href="https://interviewquestions.tuteehub.com/tag/5-319454" style="font-weight:bold;" target="_blank" title="Click to know more about 5">5</a>(pi)/(6)`</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>
Discussion
28060.

Given the sum of the perimeters of a square is equal to the diameter of the circle .

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> :At the <a href="https://interviewquestions.tuteehub.com/tag/end-971042" style="font-weight:bold;" target="_blank" title="Click to know more about END">END</a> of <a href="https://interviewquestions.tuteehub.com/tag/4-311707" style="font-weight:bold;" target="_blank" title="Click to know more about 4">4</a> <a href="https://interviewquestions.tuteehub.com/tag/seconds-1198593" style="font-weight:bold;" target="_blank" title="Click to know more about SECONDS">SECONDS</a></body></html>
Discussion
28061.

If a line makes angle 90^(@), 60^(@) and 30^(@) with the positive direction of x,y and z axis respectively , find its direction cosines.

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/0-251616" style="font-weight:bold;" target="_blank" title="Click to know more about 0">0</a>, (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>), (sqrt(<a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a>))/(2)`</body></html>
Discussion
28062.

Using the properties of determinants, prove the following |{:((a+b)^2,ca,cb),(ca,(b+c)^2,ab),(bc,ab,(c+a)^2):}|=2abc(a+b+c)^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/2abc-1836722" style="font-weight:bold;" target="_blank" title="Click to know more about 2ABC">2ABC</a>(a+b+c)^<a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a>`</body></html>
Discussion
28063.

Find the area of the triangle whose vertices are the roots of z^(3) + iz^(2) + 2i= 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/b-387190" style="font-weight:bold;" target="_blank" title="Click to know more about B">B</a></body></html>
Discussion
28064.

If n = 2hati-3hati+4hatk,m=hati-hatj,I=2hati-hatj+hatk, then the Cartesian equation of the plane passing through the line of intersection of two planes r.n = 1 and r.m =-4 and perpendicular to the plane r.1= -8 is

Answer» <html><body><p>5x-20y-12z-44=0<br/>x-2y-12z-45=0<br/>5x-20y-12z-47=0<br/>5x-2y-12z+47=0</p>Answer :D</body></html>
Discussion
28065.

Four bad oranges are mixed accidently with 16 good oranges in box. Find probability distribution of bad oranges in a draw of two oranges.

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> :`(##KPK_AIO_MAT_XII_P2_C13_E01_053_A01##)`</body></html>
Discussion
28066.

If A is 3 xx 4 matrix and B is a matrix such that A^(1)B and B A^(1) are both defined, then B is of the type

Answer» <html><body><p>`<a href="https://interviewquestions.tuteehub.com/tag/4-311707" style="font-weight:bold;" target="_blank" title="Click to know more about 4">4</a> <a href="https://interviewquestions.tuteehub.com/tag/xx-747671" style="font-weight:bold;" target="_blank" title="Click to know more about XX">XX</a> 4`<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> xx 4`<br/>`4 xx 3`<br/>`3 xx 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 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
28067.

Verify mean value theorem for each of the functions: f(x)= sin x- sin (2x), "in " x in [0, pi]

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/cos-935872" style="font-weight:bold;" target="_blank" title="Click to know more about COS">COS</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>) ((1 +- sqrt33)/(<a href="https://interviewquestions.tuteehub.com/tag/8-336412" style="font-weight:bold;" target="_blank" title="Click to know more about 8">8</a>))`</body></html>
Discussion
28068.

Solve the following equations : tan^(-1)(2x)+tan^(-1)(3x)=pi/4

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=1/6orx=-1`</body></html>
Discussion
28069.

If f(x) = x^(3) + a x^(2) + b x + c has a maximum at x = -1 and minimum at x = 3. Find a + b.

Answer» <html><body><p><a href="https://interviewquestions.tuteehub.com/tag/12-269062" style="font-weight:bold;" target="_blank" title="Click to know more about 12">12</a><br/>`-12`<br/>9<br/>3</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
28070.

The differential equation of the family of ellipses having centres at the origin and whose axes are the coordinate axes is

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> y y_(<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>) + x(y_(<a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a>))^(2) - y y_(1) = <a href="https://interviewquestions.tuteehub.com/tag/0-251616" style="font-weight:bold;" target="_blank" title="Click to know more about 0">0</a>`</body></html>
Discussion
28071.

Integrate the follwing functions: (2x)/(x^2+3x+2)

Answer» <html><body><p></p>Solution :Let `(<a href="https://interviewquestions.tuteehub.com/tag/2x-301182" style="font-weight:bold;" target="_blank" title="Click to know more about 2X">2X</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>^2+3x+2) = (2x)/((x+1)(x+2)) = A/(x+1) + B/(x+2)` <br/> Then 2x = A(x+2)+b(x+1)....(a) <br/> Putting x = -1 and x = -2 in (a) <br/> we have -2 = `Axx1 gtA = -2`, <br/> -4 = `Bxx-1 gt B = 4` <br/> <a href="https://interviewquestions.tuteehub.com/tag/therefore-706901" style="font-weight:bold;" target="_blank" title="Click to know more about THEREFORE">THEREFORE</a> `int (2x)/(x^2+3x+2) dx` <br/> = `-2log|x+1|+4 log|x+2|+c`</body></html>
Discussion
28072.

From the point (-1,2), tangent lines are to the parabola y^(2)=4x. If the area of the triangle formed by the chord of contact and the tangents is A, then the value of A//sqrt(2) is ___________ .

Answer» <html><body><p><br/></p>Solution :(8) The chord of contact w.r.t point O(-1,2) is <br/> `y=(x-1)"[Using "yy_(1)=2a(x+x_(1))]` <br/> Solving y=x-1 with the parabola, we get the point of intersection as <br/> `P(3+2sqrt(2),2+2sqrt(2))andQ(3-2sqrt(2),2-2sqrt(2))` <br/> `:." "<a href="https://interviewquestions.tuteehub.com/tag/pq-592546" style="font-weight:bold;" target="_blank" title="Click to know more about PQ">PQ</a>^(2)=32+32=64` <br/> `:." "PQ=8`<br/> <a href="https://interviewquestions.tuteehub.com/tag/also-373387" style="font-weight:bold;" target="_blank" title="Click to know more about ALSO">ALSO</a>, the length of perpendicular from O(-1,2) on PQ is `4//sqrt(2)`. <br/> Then the required <a href="https://interviewquestions.tuteehub.com/tag/area-13372" style="font-weight:bold;" target="_blank" title="Click to know more about AREA">AREA</a> of triangle is <br/> `A=(1)/(2)xx8xx((4)/(sqrt(2)))=8sqrt(2)` sq. units</body></html>
Discussion
28073.

Solvethe equation 3x^3 -4x^2 +x +88 =0giventhat2- sqrt(-7)isa root .

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/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>+- <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/7-332378" style="font-weight:bold;" target="_blank" title="Click to know more about 7">7</a>) i`</body></html>
Discussion
28074.

Let the roots f(x)=x be alpha and beta where f(x) is quadratic polynomial ax^(2)+bx+c. alpha and beta are alos the roots of f(f(x))=x. Let the other two roots of f(f(x))=x be lambda and delta. If alpha and beta are real and equal then

Answer» <html><body><p>`<a href="https://interviewquestions.tuteehub.com/tag/lambda-539003" style="font-weight:bold;" target="_blank" title="Click to know more about LAMBDA">LAMBDA</a> and <a href="https://interviewquestions.tuteehub.com/tag/delta-947703" style="font-weight:bold;" target="_blank" title="Click to know more about DELTA">DELTA</a>` are <a href="https://interviewquestions.tuteehub.com/tag/imaginary-1037171" style="font-weight:bold;" target="_blank" title="Click to know more about IMAGINARY">IMAGINARY</a> <br/>`lambda and delta` are <a href="https://interviewquestions.tuteehub.com/tag/real-1178490" style="font-weight:bold;" target="_blank" title="Click to know more about REAL">REAL</a><br/>`lambda and delta` <a href="https://interviewquestions.tuteehub.com/tag/may-557248" style="font-weight:bold;" target="_blank" title="Click to know more about MAY">MAY</a> be real or imaginary<br/>can't say</p>Answer :A</body></html>
Discussion
28075.

IfP(E_(1))=1//2, P(E_(2))=1//2" and "P(A//E_(1))=1//2, P(A/E_(2))=1//4. Find P(E_(1)//A).

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> :`2//3`</body></html>
Discussion
28076.

Let the roots f(x)=x be alpha and beta where f(x) is quadratic polynomial ax^(2)+bx+c. alpha and beta are alos the roots of f(f(x))=x. Let the other two roots of f(f(x))=x be lambda and delta. If alpha +beta+lambda+delta, then the correct statements are I : alpha and beta are real II : lambda and delta are real IIIalpha and beta are imaginary IV : lambda and delta are imaginary

Answer» <html><body><p>I and II<br/>III and IV<br/>II and III<br/>I and IV</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
28077.

Given three statements : S_(1) : "log"_(0.6) ("log"_(e )(x^(2)+x)/(x^(2)+4))lt 0, then x in (8, oo) S_(2) : log_(10)(x^(2)-16)le log_(10)(4x-11), then x in (4,5) S_(3) : If log_(3)(x+2)(x+4)+log_(((1)/(3)))(x+2)lt(1)/(2)log_(sqrt(3))7 then x in (-2, -1)uu(0, 1], then which of the following option(s) is/are incorrect ?

Answer» <html><body><p>`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>)` 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/>`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>)` is true <br/>`S_(3)` is true <br/>`S_(4)` is false </p>Solution :Given <a href="https://interviewquestions.tuteehub.com/tag/three-708969" style="font-weight:bold;" target="_blank" title="Click to know more about THREE">THREE</a> ………… <br/> Obvious</body></html>
Discussion
28078.

Let the roots f(x)=x be alpha and beta where f(x) is quadratic polynomial ax^(2)+bx+c. alpha and beta are alos the roots of f(f(x))=x. Let the other two roots of f(f(x))=x be lambda and delta. The correct statements are I : if alpha and beta are real and unequal then lambda and delta are also real II : If alpha and beta are imaginary then lambda and delta and also imaginary

Answer» <html><body><p>I only<br/>II only<br/>II and III<br/>I and IV</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
28079.

Let A_(n) and B_(n) be square matrices of order 3, which are defined as : A_(n)=[a_(ij)] and B_(n)=[b_(ij)] where a_(ij)=(2i+j)/(3^(2n)) and b_(ij)=(3i-j)/(2^(2n)) for all i and j, 1 le i, j le 3. Ifl=lim_(n to oo) Tr. (3A_(1)+3^(2)A_(2)+3^(3)A_(3)+........+3^(n)A_(n)) andm=lim_(n to oo) Tr. (2B_(1)+2^(2)B_(2)+2^(3)B_(3)+.....+2^(n)B_(n)), then find the value of ((l+m))/(3) [Note : Tr (P) denotes the trace of matrix P.]

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></body></html>
Discussion
28080.

Which of the following compound produces only basic products on hydrolysis ?

Answer» <html><body><p>`Mg_(3)N_(2)`&lt;<a href="https://interviewquestions.tuteehub.com/tag/br-390993" style="font-weight:bold;" target="_blank" title="Click to know more about BR">BR</a>&gt;`NCl_(3)`<br/>`<a href="https://interviewquestions.tuteehub.com/tag/b-387190" style="font-weight:bold;" target="_blank" title="Click to know more about B">B</a> Br_(3)`<br/>`PCl_(5)`</p>Solution :`Mg_(3)N_(2)+6H_(2)O to underset(("Both are basic"))(3 Mg(OH)_(2)+2NH_(3)`<br/> `NCl_(3)+3H_(2)O to underset(("<a href="https://interviewquestions.tuteehub.com/tag/one-585732" style="font-weight:bold;" target="_blank" title="Click to know more about ONE">ONE</a> is basic and other is acidic"))(NH_(3)+3HOCl)` <br/> `BBr_(3)+3H_(2)O to underset(("Both are acidic"))(H_(3)BO_(3)+3HBr)` <br/> `PCl_(5)+4H_(2)O to underset(("Both are acidic"))(H_(3)PO_(4)+5HCl)`.</body></html>
Discussion
28081.

Let f be a functionon [0,1] defined by f(x)=(1//2)^n , (1//2)^(n+1) le x lt (1//2)^n, n=0,1,2,… Then

Answer» <html><body><p>f is a continuous function<br/>f is continuous except x=1/2<br/>f is continuous except for finitely <a href="https://interviewquestions.tuteehub.com/tag/many-554478" style="font-weight:bold;" target="_blank" title="Click to know more about MANY">MANY</a> points <br/>The <a href="https://interviewquestions.tuteehub.com/tag/sets-14209" style="font-weight:bold;" target="_blank" title="Click to know more about SETS">SETS</a> of points where f is not continuous is infinite. </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>
Discussion
28082.

f(x)= {((tan 2x)/(x)",",x ne 0),(K",",x=0):} If a function f is continuous at x=0 then find k.

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> :k=2</body></html>
Discussion
28083.

If [(I,0),(3,-i)] + A = [ (I,2),(3,4+i)] - A, then A equals :

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>,<a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a>),(0,2+i)] ` <br/>`[(0,-1),(<a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a>,i)] ` <br/>`[(1,0),(0,2-i)] ` <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><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
28084.

Evaluate the following integrals int x sec^(2) x 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/x-746616" style="font-weight:bold;" target="_blank" title="Click to know more about X">X</a> <a href="https://interviewquestions.tuteehub.com/tag/tan-1238781" style="font-weight:bold;" target="_blank" title="Click to know more about TAN">TAN</a> x - <a href="https://interviewquestions.tuteehub.com/tag/log-543719" style="font-weight:bold;" target="_blank" title="Click to know more about LOG">LOG</a> |secx|+c`</body></html>
Discussion
28085.

(1+costheta-isintheta)^(n)

Answer» <html><body><p>`<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>^ncos^n((<a href="https://interviewquestions.tuteehub.com/tag/theta-1412757" style="font-weight:bold;" target="_blank" title="Click to know more about THETA">THETA</a>)/(2))<a href="https://interviewquestions.tuteehub.com/tag/cis-408731" style="font-weight:bold;" target="_blank" title="Click to know more about CIS">CIS</a>(ntheta)/(2)`<br/>`2^ncos^n((theta)/(2))cis (-(ntheta)/(2))`<br/>`2^nsin^n(theta/2) cis(ntheta)/(2)`<br/>`2^nsin^n(theta/2)-cis(ntheta)/(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/b-387190" style="font-weight:bold;" target="_blank" title="Click to know more about B">B</a></body></html>
Discussion
28086.

The statement "n^(5)-5n^(3)+4n is divisible by 120" is true for

Answer» <html><body><p>n = <a href="https://interviewquestions.tuteehub.com/tag/1-256655" style="font-weight:bold;" target="_blank" title="Click to know more about 1">1</a> only<br/>n = 10 only<br/>n = <a href="https://interviewquestions.tuteehub.com/tag/100-263808" style="font-weight:bold;" target="_blank" title="Click to know more about 100">100</a> only<br/>All positive integer <a href="https://interviewquestions.tuteehub.com/tag/values-25920" style="font-weight:bold;" target="_blank" title="Click to know more about VALUES">VALUES</a> of n</p>Answer :D</body></html>
Discussion
28087.

If (pi)/6 and (pi)/2 are the ends of chord of the circle x^(2)+y^(2)=16 then its length is

Answer» <html><body><p>2<br/>4<br/>6<br/>8</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
28088.

underset(x to 0)"Lt" (Sin^(-1)x-Tan^(-1))/(x)=

Answer» <html><body><p>2<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/>`-1`<br/>`1//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>
Discussion
28089.

Water is filowing into right circular conical vessel, 10 inch deep and 10 inch in diameter atthe rate of 4 (inch)""^(3) /min, How fast is the water-level rising when the water is 8 inch deep?

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>)/(4)` inch/min <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>` inch/min <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>)/(4pi)` inch/min <br/>`(1)/(<a href="https://interviewquestions.tuteehub.com/tag/2pi-1838601" style="font-weight:bold;" target="_blank" title="Click to know more about 2PI">2PI</a>)` inch/min </p>Solution :N/A</body></html>
Discussion
28090.

Definite integration as the limit of a sum : lim_(ntooo)[(1)/(n)+(n^(2))/((n+1)^(3))+(n^(2))/((n+2)^(3))+.........+(1)/(8n)]=........

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/8-336412" style="font-weight:bold;" target="_blank" title="Click to know more about 8">8</a>)`<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>)/(8)`<br/>`(1)/(3)`<br/>`(8)/(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
28091.

The value of the integral int _(0) ^(1) x cot ^(-1) (1- x ^(2) + 4x ^(4)) dx is equal to (pi)/(4) - (k)/(2) ln 2, (natural log ln) then k is

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></body></html>
Discussion
28092.

Write down the first three terms is the following expansions(8 - 5x)^(2//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/4-311707" style="font-weight:bold;" target="_blank" title="Click to know more about 4">4</a>, - 5/3x, (-<a href="https://interviewquestions.tuteehub.com/tag/25-296426" style="font-weight:bold;" target="_blank" title="Click to know more about 25">25</a>)/(<a href="https://interviewquestions.tuteehub.com/tag/32-144-273643" style="font-weight:bold;" target="_blank" title="Click to know more about 144">144</a>) x^2`</body></html>
Discussion
28093.

If 2, 3, 5 are the rootsof ax^(3) + bx^(2) + cx + d = 0 then the roots of ax sqrt(x) + bx + c sqrt(x) + d = 0 are

Answer» <html><body><p>`<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, 5 ` <br/>`4, 6, 10 `<br/>4, 9, <a href="https://interviewquestions.tuteehub.com/tag/25-296426" style="font-weight:bold;" target="_blank" title="Click to know more about 25">25</a><br/>`<a href="https://interviewquestions.tuteehub.com/tag/sqrt-1223129" style="font-weight:bold;" target="_blank" title="Click to know more about SQRT">SQRT</a>(2), sqrt(3), sqrt(5)`</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> :3</body></html>
Discussion
28094.

If therootsof theequationx^3 -9x^2 + 23x-15=0are inA.Pthencommondifferenceof thatA.Pis

Answer» <html><body><p>3<br/>1<br/>2<br/>4</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>
Discussion
28095.

Let y = f(x) be a differentiable function, AA x in R and satisfies, f(x) = x+ int_(0)^(1)x^(2)z f(z) dz + int_(0)^(1)x z^(2) f(z) dz, then

Answer» <html><body><p>`f(<a href="https://interviewquestions.tuteehub.com/tag/x-746616" style="font-weight:bold;" target="_blank" title="Click to know more about X">X</a>) = (20 x)/(119)(<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a> + 9x)` <br/>`f(x) = (<a href="https://interviewquestions.tuteehub.com/tag/20x-293171" style="font-weight:bold;" target="_blank" title="Click to know more about 20X">20X</a>)/(119)(<a href="https://interviewquestions.tuteehub.com/tag/4-311707" style="font-weight:bold;" target="_blank" title="Click to know more about 4">4</a> + 9x)` <br/>`f(x) = (10x)/(119) (4 + 9x)` <br/>`f(x) = (5x)/(119)(4 + 9x)` </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
28096.

Find the 5th term of the extension (2a+b)^8

Answer»
Discussion
28097.

Carbon and oxygen combine to form two oxides, carbon monoxide and carbon dioxide in which the ratio of the weights of carbon and oxygen is respectively 12 : 16 and 12 : 32. These figures illustrate the :-

Answer» <html><body><p>Law of <a href="https://interviewquestions.tuteehub.com/tag/multiple-1105557" style="font-weight:bold;" target="_blank" title="Click to know more about MULTIPLE">MULTIPLE</a> proportions<br/>Law of <a href="https://interviewquestions.tuteehub.com/tag/reciprocal-1180061" style="font-weight:bold;" target="_blank" title="Click to know more about RECIPROCAL">RECIPROCAL</a> proportions <br/>Law of <a href="https://interviewquestions.tuteehub.com/tag/conservation-929810" style="font-weight:bold;" target="_blank" title="Click to know more about CONSERVATION">CONSERVATION</a> of mass<br/>Law of constant proportions</p>Answer :A</body></html>
Discussion
28098.

From the point P(2, 3) tangents PA,PB are drawn to the circle x^2+y^2-6x+8y-1=0. The equation to the line joining the mid points of PA and PB is

Answer» <html><body><p>x-7y+7=0<br/>x+7y-5=0<br/>x+7y+5=0<br/>x-7y+5=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</body></html>
Discussion
28099.

lim_(x to 0) ((1+x^2)^(1//3) - (1-2x)^(1//4))/ (x+x^2) is

Answer» <html><body><p><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/>`1//2`<br/>`3//2`<br/>cannot be <a href="https://interviewquestions.tuteehub.com/tag/determined-949906" style="font-weight:bold;" target="_blank" title="Click to know more about DETERMINED">DETERMINED</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>
Discussion
28100.

There are n black balls and 2 red balls in a bag. One by one balls are drawn from the bag X wins as soon as 2 black balls are drawn and Y wins as soon as 2 red balls are drawn. The game continuous until one of 2 wins. Let X(n) and Y(n) denotes the probability that X and Y wins respectively. The value of lim_(n+prop) (X(2).X(3).X(4)...(n)) is

Answer» <html><body><p>`1//3`<br/>`1//10`<br/>`1//5`<br/>`1//20`.</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