14949 + Interview Questions in Maths in Class 11 Page 287 InterviewSolution

14301.	1 to 7, describe the sample space for the indicated experiment. A coin is tossed three items.
Answer» Answer :{HHH, HHT, HTH, TTH, HTT, THT, TTT}

Discussion

14302.	Find out which of the following sentences are statements and which are not ?JustifyEverysquare is a rhombus
Answer» SOLUTION :STATEMENT

Discussion

14303.	The price index of a commodity is 240. Then, percentage increase in price of the commodity in current year as compared to the base year is
Answer» (a)0.4 (B)1.4 2.4 0.24 Answer :B

Discussion

14304.	If x = t ^(2), y = t ^(3) then(d ^(2) y)/(dx ^(2)) =
Answer» `3/2` `3/((4T)` `3/((2t)` `(3t)/2` ANSWER :B

Discussion

14305.	~[p or (~q)]= …...
Answer» ANSWER :`-p^^q`

Discussion

14306.	Calculate the mean, variance and standard deviation for the following distribution :
Answer» ANSWER :14.18

Discussion

14307.	There are 20 persons, among whom two are brothers. Find the number of ways in which we can arrange the 20 persons around a round table so that there is exactly one person between the two brothers.
Answer» SOLUTION :`2xx18!`

Discussion

14308.	If the lines 2x + y - 3 = 0 , 5x + ky - 3 = 0" and " 3x - y - 2 = 0are concurrent , find the value of k.
Answer» ANSWER :`= -2`

Discussion

14309.	cos x =- 1/3, x lies inIII quadrant . Find sinx/2,cosx/2 ,tanx/2
Answer» ANSWER :`(SQRT6)/( 3),-(SQRT3)/(3), -SQRT2`

Discussion

14310.	Evaluate the following limits : Lim_(x to 0) (cos Ax - cos Bx)/(x^(2))
Answer» ANSWER :`(B^(2)-A^(2))/2`

Discussion

14311.	(cos ^(2)((B-C)/( 2)) )/( (b+c)^(2))+( sin ^(2)((B-C)/( 2)) )/( (b-c)^(2))=
Answer» ` (1)/(a^(2))` ` ( 2)/( a^(2))` `( a^(2))/( 2) ` ` a^(2) ` ANSWER :A

Discussion

14312.	Obtain equation of circle in Centre (2,-3) and radius sqrt(2a).
Answer» ANSWER :`x^(2) + y^(2) - 4X + 6Y - 12 = 0`

Discussion

14313.	A manufacturer has 600 litres of a 12% solution of acid. How many litres of a 30% acid solution must be added to it so that acid content in the resulting mixture will be more than 15% but less than 18%?
Answer» Answer :the number of litres of the 30% solution of ACID will have to be more than 120 litres but LESS than 300 litres.

Discussion

14314.	Points A(1,3) and C(5,1) are opposite vertices of a rectagle ABCD. If the slope of BD is 2, then its equation is
Answer» `2x-y=4` `2x+y=4` `2x+y-7=0` `2x+y+7=0` ANSWER :A

Discussion

14315.	The value of 'theta' of the Lagrange's mean value theorem for f(x) = x^(2) - 2x +3,a=1,h= (1)/(2) is
Answer» `1//4` `1//8` `3//4` `1//2` ANSWER :D

Discussion

14316.	Compute the following limits. Lt_(xtooo)(6x^(2)-x+7)/(8x^(2)-7x+3)
Answer» ANSWER :3/4

Discussion

14317.	Find the sum to n terms of each of the series in1/(1xx2)+1/(2xx3)+1/(3xx4)+.......
Answer» ANSWER :`N/(n+1)`

Discussion

14318.	Write the negation of the following statements and check whether the resulting statements are true: Australia is a continent.
Answer» ANSWER :TRUE.

Discussion

14319.	Value of [-2.3]is ….....
Answer» ANSWER :`-3`

Discussion

14320.	Value of [2.3] is .......
Answer» ANSWER :`-2`

Discussion

14321.	If m and M are the minimum and the maximum values of 4 + (1)/(2) sin^(2) 2x -2 cos^(4) x, x in R, then M-m is equal to:
Answer» `15//4` `9//4` `7//4` `1//4` ANSWER :B

Discussion

14322.	Find the derivative of w.r.to x (1)/(ax ^(2) + bx +c) (whre \|a\| +\|b\| +\|c\| ne 0)
Answer» ANSWER :`(-(2 ax +b))/( (ax ^(2)+ BX +C) ^(2))`

Discussion

14323.	Conver the following in the polar form: (i) (1+7i)/(2-i)^(2), (ii) (1+3i)/(1-2i)
Answer» ANSWER :(i) `SQRT(2)(cos (3PI)/4 + isin(3pi)/4)`, (ii) `sqrt(2)(cos (3pi)/4 + isin(3pi)/4)`

Discussion

14324.	Compote a price index for the following by simple aggregate method:
Answer» ANSWER :`=117.143`

Discussion

14325.	IF 4,5 are two sides of a triangle and the included angle is 60^@, then its area is
Answer» ANSWER :` 5SQRT3 ` SQ. UNITS

Discussion

14326.	Answer the equation: int(2^(x+1)-3^(x-1))/(6^(x))dx
Answer» ANSWER :`-2(3^(-x))/(log3)+(1)/(3)(2^(-x))/(LOG2)+c`

Discussion

14327.	Find the number of different signals that can be generated by arranging at least 2 flags in order (one below the other) on a vertical staff, if five different flags are available.
Answer» ANSWER :320

Discussion

14328.	If f(2x + y/8 , 2x - y/8) = xy, then f(m,n)+f(n,m)=0
Answer» only when `m=N` only when `m != n` only when `m = -n` for all m and n Answer :D

Discussion

14329.	Find dy/dx at the points corresponding to x = 1 to the curve y^(2) + 3xy + 2x^(2) = 0.
Answer» ANSWER :`dy/dx` at (1,-2) = -2

Discussion

14330.	Let A(2, -3),B(-2, 1) be vertices of a triangle ABC. If the centroid of this triangle moves on the line 2x+3y=1, then locus of the vertex 'C' is the line
Answer» `3X + 2Y = 5` `2x – 3Y = 7` `2x + 3y = 4` `2x + 3y - 9 = 0` Answer :4

Discussion

14331.	Three coins are tossed. Describe Three events which are mutually exclusive but not exhaustive.
Answer» ANSWER :`:.` Events A, B and C are MUTUALLY exclusive but not EXHAUSTIVE.

Discussion

14332.	Let A= {1, 2, 3}, B= {3, 4} and C= {4, 5, 6}. Find A xx (B nn C)
Answer» ANSWER :{(1,4),(2,4),(3,4)}

Discussion

14333.	(a) How many numbers of two digits are divisible by 3 ? (b) How many numbers of three digits are divisible by 9 ?
Answer» SOLUTION :N/a

Discussion

14334.	If the sum of two positive numbers is 48 then find the two numbers whose sum of the squares is minimum.
Answer» ANSWER :24, 24

Discussion

14335.	Coordinates of centre of circle passes from (0,0) , (a,0) and (0,b) is ..........
Answer» `((a)/(2),(B)/(2))` `((b)/(2),(b)/(2))` (b,a) (a, b) ANSWER :A

Discussion

14336.	A straight line makes an angle (pi)/3 with positive direction of x-axis measured in anti clock direction and makes positive intercept on y-axis and the line is at a distance of 5 units from origin then its equation is
Answer» `y-sqrt(3)x-10` `y=sqrt(3)x+10` `y=sqrt(3)x+8` `y=sqrt(3)x-8` ANSWER :B

Discussion

14337.	Find the sum of all three digit natural numbers divisible by 7
Answer» ANSWER :70336

Discussion

14338.	Find equaiton of hyperbola satisfying given conditons Verticies (0, pm 7) and foci (0, pm (28)/(3))
Answer» ANSWER :`(y^(2))/(49) - (9X^(2))/(235) = 1`

Discussion

14339.	If P={a,b,c} and Q={r}, form the sets P xx Q and Q xx P.Check if the products are equal or not?
Answer» <P> ANSWER :(i) `P xx Q= {(a,r), (b,r), (c, r)` (ii) `Q xx P = {(r,a),(r,b),(r,c)}` , (III) `P xx Q NE Q xx P`

Discussion

14340.	Find the co-ordinate of the focus ,equation of the directrix and length of the Latus Rectum of the Parabola (y^(2) = 8x) ?
Answer» ANSWER :`4a=4xx2=8`

Discussion

14341.	A verticalpole subtends an angleTan ^(-1) (( 1)/(2))at apoint P onthe ground. On the ground .If the angles subtendsby the upper half and the lower halfof the pole at Pare respectivelyalpha and betathen( tan alpha, tan beta)
Answer» ` ( (1)/(4) , ( 1)/(5))` ` ((1)/(5) , (2)/(9))` ` ( (2)/( 9),( 1)/(4))` ` ( (1)/(4),( 2)/(9))` Answer :C

Discussion

14342.	If alpha, beta, gamma, delta are the solutions of the equation tan(theta + (pi)/(4)) = 3 tan 3 theta, no two of which have equal tangents. The value of tan alpha + tan beta + tan gamma + tan delta is
Answer» 1 0 `-1` 4 Answer :B

Discussion

14343.	Without using distance formula, show that points (-2,-1), (4,0),(3,3) and (-3,2) are the vertices of a parallelogram.
Answer» ANSWER :ABCD is PARALLELOGRAM

Discussion

14344.	If the slope of one of the lines represented by ax^(2) + 2hxy + by^(2) = 0 is the square of the other, then (a+b)/h+(8h^(2))/(ab)
Answer» 4 6 8 9 Answer :B

Discussion

14345.	Express the following as function of angle less than 45^(@) : cot(-1952^(@))
Answer» ANSWER :`cot28^(@)`

Discussion

14346.	Find the radius of the circle in which a central angle of 60^(@) intercepts an arc of length 37.4 cm. (Use pi=(22)/(7))
Answer» ANSWER :`35.7cm`

Discussion

14347.	U= {h, i, j, k, l, m, n, o, p} then find the complement of the following sets :D= {h, i, j, k, l, m, o, p}
Answer» ANSWER :`= {N}`

Discussion

14348.	Show that the equation x^(2)-y^(2)-x+3y-2=0 represents a pair of perpendicular lines and find their equations.
Answer» ANSWER :`x+y-2=0, x-y+1=0`

Discussion

14349.	If bara,barb,barc " are unit vectors, then find least value of" 2(bara.barb)+2(barb.barc)+2(barc.bara).
Answer» ANSWER :-3

Discussion

14350.	Equation of circle having radius 5, and touching X-axis at (-1,0), is
Answer» `x^(2) + y^(2) pm 2X + 10Y - 1 = 0 ` `x^(2) + y^(2) pm 2x - 10y + 1= 0 ` `x^(2) + y^(2) + 2x + 10y pm 1 = 0 ` `x^(2) + y^(2) + 2x pm 10y + 1 = 0` SOLUTION :N/A

Discussion

Explore topic-wise InterviewSolutions in .

1 to 7, describe the sample space for the indicated experiment. A coin is tossed three items.

Find out which of the following sentences are statements and which are not ?JustifyEverysquare is a rhombus

The price index of a commodity is 240. Then, percentage increase in price of the commodity in current year as compared to the base year is

If x = t ^(2), y = t ^(3) then(d ^(2) y)/(dx ^(2)) =

~[p or (~q)]= …...

Calculate the mean, variance and standard deviation for the following distribution :

There are 20 persons, among whom two are brothers. Find the number of ways in which we can arrange the 20 persons around a round table so that there is exactly one person between the two brothers.

If the lines 2x + y - 3 = 0 , 5x + ky - 3 = 0" and " 3x - y - 2 = 0are concurrent , find the value of k.

cos x =- 1/3, x lies inIII quadrant . Find sinx/2,cosx/2 ,tanx/2

Evaluate the following limits : Lim_(x to 0) (cos Ax - cos Bx)/(x^(2))

(cos ^(2)((B-C)/( 2)) )/( (b+c)^(2))+( sin ^(2)((B-C)/( 2)) )/( (b-c)^(2))=

Obtain equation of circle in Centre (2,-3) and radius sqrt(2a).

A manufacturer has 600 litres of a 12% solution of acid. How many litres of a 30% acid solution must be added to it so that acid content in the resulting mixture will be more than 15% but less than 18%?

Points A(1,3) and C(5,1) are opposite vertices of a rectagle ABCD. If the slope of BD is 2, then its equation is

The value of 'theta' of the Lagrange's mean value theorem for f(x) = x^(2) - 2x +3,a=1,h= (1)/(2) is

Compute the following limits. Lt_(xtooo)(6x^(2)-x+7)/(8x^(2)-7x+3)

Find the sum to n terms of each of the series in1/(1xx2)+1/(2xx3)+1/(3xx4)+.......

Write the negation of the following statements and check whether the resulting statements are true: Australia is a continent.

Value of [-2.3]is ….....

Value of [2.3] is .......

If m and M are the minimum and the maximum values of 4 + (1)/(2) sin^(2) 2x -2 cos^(4) x, x in R, then M-m is equal to:

Find the derivative of w.r.to x (1)/(ax ^(2) + bx +c) (whre |a| +|b| +|c| ne 0)

Conver the following in the polar form: (i) (1+7i)/(2-i)^(2), (ii) (1+3i)/(1-2i)

Compote a price index for the following by simple aggregate method:

IF 4,5 are two sides of a triangle and the included angle is 60^@, then its area is

Answer the equation: int(2^(x+1)-3^(x-1))/(6^(x))dx

Find the number of different signals that can be generated by arranging at﻿ least 2 flags in order (one below the other) on a vertical staff, if five different flags are﻿ available.﻿

If f(2x + y/8 , 2x - y/8) = xy, then f(m,n)+f(n,m)=0

Find dy/dx at the points corresponding to x = 1 to the curve y^(2) + 3xy + 2x^(2) = 0.

Let A(2, -3),B(-2, 1) be vertices of a triangle ABC. If the centroid of this triangle moves on the line 2x+3y=1, then locus of the vertex 'C' is the line

Three coins are tossed. Describe Three events which are mutually exclusive but not exhaustive.

Let A= {1, 2, 3}, B= {3, 4} and C= {4, 5, 6}. Find A xx (B nn C)

(a) How many numbers of two digits are divisible by 3 ? (b) How many numbers of three digits are divisible by 9 ?

If the sum of two positive numbers is 48 then find the two numbers whose sum of the squares is minimum.

Coordinates of centre of circle passes from (0,0) , (a,0) and (0,b) is ..........

A straight line makes an angle (pi)/3 with positive direction of x-axis measured in anti clock direction and makes positive intercept on y-axis and the line is at a distance of 5 units from origin then its equation is

Find the sum of all three digit natural numbers divisible by 7

Find equaiton of hyperbola satisfying given conditons Verticies (0, pm 7) and foci (0, pm (28)/(3))

If P={a,b,c} and Q={r}, form the sets P xx Q and Q xx P.Check if the products are equal or not?

Find the co-ordinate of the focus ,equation of the directrix and length of the Latus Rectum of the Parabola (y^(2) = 8x) ?

A verticalpole subtends an angleTan ^(-1) (( 1)/(2))at apoint P onthe ground. On the ground .If the angles subtendsby the upper half and the lower halfof the pole at Pare respectivelyalpha and betathen( tan alpha, tan beta)

If alpha, beta, gamma, delta are the solutions of the equation tan(theta + (pi)/(4)) = 3 tan 3 theta, no two of which have equal tangents. The value of tan alpha + tan beta + tan gamma + tan delta is

Without using distance formula, show that points (-2,-1), (4,0),(3,3) and (-3,2) are the vertices of a parallelogram.

If the slope of one of the lines represented by ax^(2) + 2hxy + by^(2) = 0 is the square of the other, then (a+b)/h+(8h^(2))/(ab)

Express the following as function of angle less than 45^(@) : cot(-1952^(@))

Find the radius of the circle in which a central angle of 60^(@) intercepts an arc of length 37.4 cm. (Use pi=(22)/(7))

U= {h, i, j, k, l, m, n, o, p} then find the complement of the following sets :D= {h, i, j, k, l, m, o, p}

Show that the equation x^(2)-y^(2)-x+3y-2=0 represents a pair of perpendicular lines and find their equations.

If bara,barb,barc " are unit vectors, then find least value of" 2(bara.barb)+2(barb.barc)+2(barc.bara).

Equation of circle having radius 5, and touching X-axis at (-1,0), is

Find the number of different signals that can be generated by arranging at least 2 flags in order (one below the other) on a vertical staff, if five different flags are available.