14949 + Interview Questions in Maths in Class 11 Page 292 InterviewSolution

14551.	Two unbiased dice are thrown . Find the probability thatthe total numbers on the dice is 13
Answer» ANSWER :`=0`.

Discussion

14552.	Find slope of the perpendicular line to the line passes from points (0,8) and (-5,2).
Answer» ANSWER :`-(5)/(9)`

Discussion

14553.	If in a triangle ABC, 4 sin A= 4 sin B=3 sin C, the cos C=
Answer» `1//3` `1/9` `1//27` `1//18` ANSWER :B

Discussion

14554.	If \|x\| lt 1 then (1)/(2) log_(e)((1+x)/(1-x)) =
Answer» TAN H x `SIN h^(-1)(x)` `cot h^(-1)(x)` `tan h^(-1)(x)` ANSWER :D

Discussion

14555.	The set A has 4 elements and set B has 2 elements how many relations are there from A to B
Answer» ANSWER :`2^(8)`

Discussion

14556.	Find out the standard deviation from the following distribution table:
Answer» SOLUTION :NA

Discussion

14557.	Which of the following sets are finite or infinite ? The set of months of a year
Answer» ANSWER :it is a FINITE SET

Discussion

14558.	If sin(pi cos theta)=cos(pi sin theta) then sin2theta=
Answer» `+-3/4` `+-1/3` `+-2/3` `+-1/4` ANSWER :A

Discussion

14559.	Write the contrapositive and converse of the following statements: Something is cold implies that it has low temperature.
Answer» ANSWER :The CONTRAPOSITIVE is If SOMETHING is not at low TEMPERATURE, then it is not cold The CONVERSE is If something is at low temperature, then it is cold

Discussion

14560.	Find the correct statement:
Answer» a, (a + d), (a + 2D), (a + 3D),a + nd is called Geometric progression. There are n terms in the expansion of `(x + a)^(n)` If a and b are positive integers the n `(a+b)/2` is called Harmonic MEAN between a and b `x_(n)=x_(n-2)n ge3` with `x_(0)=1, x_(1)=1` is called Fibonacci sequence. Answer :d

Discussion

14561.	Find the values of theta and p, if the equation x cos theta + y sin theta =p is the normal form of the line sqrt(3x) + y + 2=0.
Answer» ANSWER :`(7 PI)/6, 1`

Discussion

14562.	If both the distinct roots of the equation \|sinx\|^(2)+\|sinx\|+b=0 in [0,pi] are real, then the values of b are
Answer» [-2,0] (-2,0) [-2,0) [-2,2] ANSWER :B

Discussion

14563.	ABCDEF is a regular hexagon. If bar(AB)=bar(a), bar(BC)=bar(b)" then "bar(FA)=
Answer» `BAR(B)-bar(a)` `2(bar(b)-bar(a))` `2(bar(a)-bar(b))` `bar(a)-bar(b)` ANSWER :D

Discussion

14564.	Find the mean deviation about the median for the data in {:("x"_(i),5,7,9,10,12,15),("f"_(i),8,6,2,2,2,6):}
Answer» ANSWER :3.23

Discussion

14565.	The shortest distance between the lines through the points (2, 3, 1), (4, 5, 2) and parallel to the vectors (3, 4, 2), (4, 5, 3) respectively is
Answer» `(SQRT6)/7` `1/(SQRT(6))` `2/(sqrt3)` 9 Answer :B

Discussion

14566.	What is the geometric property possessed by the straight lines of each system given by 1 = x/a + y/3
Answer» SOLUTION :A FAMILY of LINES with y - INTERCEPT 3

Discussion

14567.	If the lines x^(2)+(2+h)xy-4y^(2)=0 are equally inclincd to the coordinate axes then h=
Answer» `-3` `-2` `-4` `-8` ANSWER :B

Discussion

14568.	Let f be a non zero continuous function satisfying f(x+y)=f(x) f(y) for all x, y in R. If f(2)=9 then f(3) is
Answer» 1 27 9 8 Answer :B

Discussion

14569.	3sin(pi/9) - 4sin^(3)(pi/9) = .......
Answer» ANSWER :`sqrt3/2`

Discussion

14570.	Base of the equilateral triangle is along the line x + y- 2 = 0 and its one vertex is (2, -1).Find area of triangle.
Answer» ANSWER :`(1)/( 2 SQRT3)`

Discussion

14571.	A stick of length l rests againsts the floor and a wall of a room. If the stick begins to slide on the floor, then the locus of its middle point is
Answer» `3x^(2)+3Y^(2)=L^(2)` `4x^(2)+4y^(2)=l^(2)` `2x^(2)+2Y^(2)=l^(2)` `X^(2)+y^(2)=l^(2)` Answer :B

Discussion

14572.	A line is such that its segment between the straight lines 5x- y-4 =0 and 3x+4y -4 =0 is bisected at the point (1,5), then its equation is
Answer» `83-35y+92=0` `35x-83y+92=0` `35x+35y+92=0` NONE of these ANSWER :A

Discussion

14573.	Cos^(-1)(cos12) -Sin^(-1) (sin12)=
Answer» 0 `PI` `8pi+24` `8pi-24` ANSWER :D

Discussion

14574.	Find (d^(2)y)/(dx^(2)) if x^(3) + y^(3) = a^(3).
Answer» ANSWER :`-2xa^(3)/y^(5)`

Discussion

14575.	Expand (X^2+3/x)^4, x ≠ 0
Answer» ANSWER :4

Discussion

14576.	From the sets given below, select equal sets : A = { 2, 4, 8, 12}, B = { 1, 2, 3, 4}, C = { 4, 8, 12, 14}, D = { 3, 1, 4, 2} E = {–1, 1}, F = { 0, a}, G = {1, –1}, H = { 0, 1}
Answer» ANSWER :B=D, E=G

Discussion

14577.	Find real theta such that (3+2i sin theta)/(1-2i sin theta) is purely real.
Answer» ANSWER :`theta=npi, N in Z`.

Discussion

14578.	Which of the following are sets? Justify your answer : The collection of all prime numbers.
Answer» ANSWER :it is a SET

Discussion

14579.	Find the adjoint and Inverse of the matrix A=[{:(2,-3),(4,6):}]
Answer» ANSWER :`[(1/4,1/8),((-1)/6,1/12)]`

Discussion

14580.	Describe the sample space for the indicated experiments. An experiment conslsts of tossing a coin and then throwing it second time if a head occurs.If a tail occurs on the first toss then a die is rolled once
Answer» Answer :{HH, HT, T1, T2, T3, T4, T5, T6}

Discussion

14581.	The two lines4x^(2)-24xy+11y^(2)=0 makes with x-axis angles such that difference of their tangents is
Answer» `2//11` 20 `-11` `20//11` ANSWER :D

Discussion

14582.	Find the derivative of the following functions (ax^(2)+b)^(2)
Answer» ANSWER :`4AX(AX^(2)+B)`

Discussion

14583.	Find the coordinates of thepoints which trisect the line segement joining the points P(4,2,-6) and Q(10,-16,6)
Answer» ANSWER :(6,-4,-2),(8,-10,2)

Discussion

14584.	Two sides of a triangle are parallel to the coordinate axes. If slopes of the medians through the acute angels of the riangle are2 and m, then m=
Answer» `1//2` 2 4 8 Answer :A::D

Discussion

14585.	Solvesin 3x = cos 2x. (0 lt x lt 2pi).
Answer» ANSWER :`(PI)/(10) , (pi)/(2), (13pi)/(10), (17pi)/(10)`

Discussion

14586.	There are 60 students in a class. The followng is the frequency distribution of marks obtained by the students in a test. where x is positive integer. Determine the mean of the marks.
Answer» ANSWER :`1.12`

Discussion

14587.	If a linemakes angles alpha,beta,lambda with the coordinate axes vec(OX),vec(OY),vec(OZ) find the value of cos 2alpha +cos2beta + cos 2lambda,
Answer» ANSWER :-1

Discussion

14588.	A function f : R rarr defined by f(x) = x^(2). Determine {y : f(y) = - 1}
Answer» ANSWER :`varphi`

Discussion

14589.	f (x) = ((e^(kx)-1)(sin kx))/(4x^(2)) , x ne 0, f(0) = 9 , is continuous at x = 0 , then k =
Answer» `PM 2` `pm 6` `pm 4` `pm 8` ANSWER :B

Discussion

14590.	If e^(x)+e^(f(x))=e , then for f(x)
Answer» DOMAIN ` = (-oo, 1)` range `=(-oo, 1)` domain `=(-oo, 0]` range `=(-oo, 1]` Answer :A::B

Discussion

14591.	Find the valuesof other five trigonometric functions secx=(13)/(5),x lies in fourth quadrant.
Answer» Answer :`sin =- (12)/(13) , cosec x =- (13)/( 12), COS x = (5)/(13), tan x =- (12)/(5), COT x =- (5)/(12)`

Discussion

14592.	Find the derivative of the following functions from first principle. (x-1)(x-2)
Answer» ANSWER :`2x-3`

Discussion

14593.	If \|{:(0,sinalpha,sinbeta),(sinalpha,0,singamma),(sinbeta,singamma,0):}\|=\|{:(1,sinalpha,sinbeta),(sinalpha,1,singamma),(sinbeta,singamma,1):}\| then
Answer» `sinalpha.sinbeta,singamma=1` `sinalpha+sinbeta+singamma=1` `SIN^(2)alpha+sin^(2)beta+sin^(2)gamma=1` 0 Answer :C

Discussion

14594.	The semi vertical angle of a cone is 45^(@). The height of the cone is 20.025 cm. The approximate lateral surface area is
Answer» `401pisqrt2sq.cm` `60pisq.cm` `3.6pisq.cm` `9045pisq.cm` ANSWER :A

Discussion

14595.	If the plane 56x+4y+9z=2016 meets the coordinate axes in A,B,C then the centroid of the triangle ABC is
Answer» `(12,168,224)` `(12,168,112)` `(12,168,(224)/(3))` `(12,-168,(224)/(3))` ANSWER :C

Discussion

14596.	Find equation of the line parallel to the line 3x - 4y + 2 = 0and passing through the point (-2, 3).
Answer» ANSWER :`3X - 4Y + 18 = 0 `

Discussion

14597.	If a,b,c, are positive then tan^(-1)sqrt((a(a+b+c))/(bc))+tan^(-1)sqrt((b(a+b+c))/(ca))+ tan^(-1)sqrt((c(a+b+c))/(ab))=
Answer» 0 `3PI` 1 `4PI` ANSWER :A

Discussion

14598.	A(6,-16,-3), B(3,-1,4), C(-2,5,0) are vertices of a triangle, Find the coordinates of the foot of the perpendicular drawn from A to bar(BC).
Answer» ANSWER :(8,-7,8)

Discussion

14599.	If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/2, then value of off x^(100)+y^(100)+z^(100)-9/(x^(101)+y^(101)+z^(101))=
Answer» a)0 b)1 c)2 d)3 Answer :A

Discussion

14600.	Find the radius of a circle in which a central angle of 45^(@) intercepts an are of 187 cm.
Answer» ANSWER :138 m

Discussion

Explore topic-wise InterviewSolutions in .

Two unbiased dice are thrown . Find the probability thatthe total numbers on the dice is 13

Find slope of the perpendicular line to the line passes from points (0,8) and (-5,2).

If in a triangle ABC, 4 sin A= 4 sin B=3 sin C, the cos C=

If |x| lt 1 then (1)/(2) log_(e)((1+x)/(1-x)) =

The set A has 4 elements and set B has 2 elements how many relations are there from A to B

Find out the standard deviation from the following distribution table:

Which of the following sets are finite or infinite ? The set of months of a year

If sin(pi cos theta)=cos(pi sin theta) then sin2theta=

Write the contrapositive and converse of the following statements: Something is cold implies that it has low temperature.

Find the correct statement:

Find the values of theta and p, if the equation x cos theta + y sin theta =p is the normal form of the line sqrt(3x) + y + 2=0.

If both the distinct roots of the equation |sinx|^(2)+|sinx|+b=0 in [0,pi] are real, then the values of b are

ABCDEF is a regular hexagon. If bar(AB)=bar(a), bar(BC)=bar(b)" then "bar(FA)=

Find the mean deviation about the median for the data in {:("x"_(i),5,7,9,10,12,15),("f"_(i),8,6,2,2,2,6):}

The shortest distance between the lines through the points (2, 3, 1), (4, 5, 2) and parallel to the vectors (3, 4, 2), (4, 5, 3) respectively is

What is the geometric property possessed by the straight lines of each system given by 1 = x/a + y/3

If the lines x^(2)+(2+h)xy-4y^(2)=0 are equally inclincd to the coordinate axes then h=

Let f be a non zero continuous function satisfying f(x+y)=f(x) f(y) for all x, y in R. If f(2)=9 then f(3) is

3sin(pi/9) - 4sin^(3)(pi/9) = .......

Base of the equilateral triangle is along the line x + y- 2 = 0 and its one vertex is (2, -1).Find area of triangle.

A stick of length l rests againsts the floor and a wall of a room. If the stick begins to slide on the floor, then the locus of its middle point is

A line is such that its segment between the straight lines 5x- y-4 =0 and 3x+4y -4 =0 is bisected at the point (1,5), then its equation is

Cos^(-1)(cos12) -Sin^(-1) (sin12)=

Find (d^(2)y)/(dx^(2)) if x^(3) + y^(3) = a^(3).

Expand (X^2+3/x)^4, x ≠ 0

From the sets given below, select equal sets : A = { 2, 4, 8, 12}, B = { 1, 2, 3, 4}, C = { 4, 8, 12, 14}, D = { 3, 1, 4, 2} E = {–1, 1}, F = { 0, a}, G = {1, –1}, H = { 0, 1}

Find real theta such that (3+2i sin theta)/(1-2i sin theta) is purely real.

Which of the following are sets? Justify your answer : The collection of all prime numbers.

Find the adjoint and Inverse of the matrix A=[{:(2,-3),(4,6):}]

Describe the sample space for the indicated experiments. An experiment conslsts of tossing a coin and then throwing it second time if a head occurs.If a tail occurs on the first toss then a die is rolled once

The two lines4x^(2)-24xy+11y^(2)=0 makes with x-axis angles such that difference of their tangents is

Find the derivative of the following functions (ax^(2)+b)^(2)

Find the coordinates of thepoints which trisect the line segement joining the points P(4,2,-6) and Q(10,-16,6)

Two sides of a triangle are parallel to the coordinate axes. If slopes of the medians through the acute angels of the riangle are2 and m, then m=

Solvesin 3x = cos 2x. (0 lt x lt 2pi).

There are 60 students in a class. The followng is the frequency distribution of marks obtained by the students in a test. where x is positive integer. Determine the mean of the marks.

If a linemakes angles alpha,beta,lambda with the coordinate axes vec(OX),vec(OY),vec(OZ) find the value of cos 2alpha +cos2beta + cos 2lambda,

A function f : R rarr defined by f(x) = x^(2). Determine {y : f(y) = - 1}

f (x) = ((e^(kx)-1)(sin kx))/(4x^(2)) , x ne 0, f(0) = 9 , is continuous at x = 0 , then k =

If e^(x)+e^(f(x))=e , then for f(x)

Find the valuesof other five trigonometric functions secx=(13)/(5),x lies in fourth quadrant.

Find the derivative of the following functions from first principle. (x-1)(x-2)

If |{:(0,sinalpha,sinbeta),(sinalpha,0,singamma),(sinbeta,singamma,0):}|=|{:(1,sinalpha,sinbeta),(sinalpha,1,singamma),(sinbeta,singamma,1):}| then

The semi vertical angle of a cone is 45^(@). The height of the cone is 20.025 cm. The approximate lateral surface area is

If the plane 56x+4y+9z=2016 meets the coordinate axes in A,B,C then the centroid of the triangle ABC is

Find equation of the line parallel to the line 3x - 4y + 2 = 0and passing through the point (-2, 3).

If a,b,c, are positive then tan^(-1)sqrt((a(a+b+c))/(bc))+tan^(-1)sqrt((b(a+b+c))/(ca))+ tan^(-1)sqrt((c(a+b+c))/(ab))=

A(6,-16,-3), B(3,-1,4), C(-2,5,0) are vertices of a triangle, Find the coordinates of the foot of the perpendicular drawn from A to bar(BC).

If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/2, then value of off x^(100)+y^(100)+z^(100)-9/(x^(101)+y^(101)+z^(101))=

Find the radius of a circle in which a central angle of 45^(@) intercepts an are of 187 cm.