14949 + Interview Questions in Maths in Class 11 Page 198 InterviewSolution

9851.	(cos h x)/(1- tan hx) + (sin hx)/(1-cot hx) =
Answer» sin H(x) + cot h(x) TAN h(x) + cot h(x) tan h(x) - cot h(x) sin h(x) + COS h(x) ANSWER :D

Discussion

9852.	LetA = { 1, 2, { 3, 4 }, 5 }. Which of the following statements are incorrect and why? {1, 2, 5} ∈ A
Answer» ANSWER :INCORRECT

Discussion

9853.	LetA = { 1, 2, { 3, 4 }, 5 }. Which of the following statements are incorrect and why? 1 ⊂ A
Answer» ANSWER :as `1∈A`

Discussion

9854.	If z=(1)/(1-cos theta- isintheta) then Re(z)=....
Answer» 0 `(1)/(2)` `"COT" (THETA)/(2)` `(1)/(2)"cot"(theta)/(2)` ANSWER :B

Discussion

9855.	If tan(x+pi/4)=a, then sec^(2)x=
Answer» `1+a^(2)` `(4A)/(a+1)^(2)` `(2(a^(2)+1))/(a+1)^(2)` `((a-1)/(a+1))^(2)` ANSWER :C

Discussion

9856.	Given z_(1)=1 + 2i. Determine the region in the complex plane represented by 1 lt \|z-z_(1)\| le 3. Represent it with the help of an Argand diagram
Answer» ANSWER :3

Discussion

9857.	The ratio in which 3bar(i)+4bar(j)+7bar(k) divides the join of bar(i)+2bar(j)+3bar(k) and -3bar(i)-2bar(j)-5bar(k) is
Answer» `-1:3` `1:2` `1:3` `3:1` ANSWER :A

Discussion

9858.	U= [1,5],A={x\|x in N ,x^2-6x+5=0} then A'=....
Answer» ANSWER :(1,5)

Discussion

9859.	The set of all x in ((-pi)/( 2), (pi)/(2)) satisfying \|4 sin x - \| lt sqrt(5) is given by
Answer» `(- (PI)/( 10), (3 pi)/(10))` `((pi)/( 10), (3 pi)/( 10))` `((pi)/( 10), -(3 pi)/( 10))` `((- 3 pi)/(10), (- pi)/( 10))` ANSWER :A

Discussion

9860.	A coin is tossed four times. what will be the sample space.
Answer» Answer :{HHHH, HHHT, HHTH, HTHH, THHH, HHTT, HTHT, HTTH, THHT, THTH, TTHH, HTTT, THTT, TTHT, TTTH, TTTT}

Discussion

9861.	A and B are events such that P(A)= 0.42, P(B)= 0.48 and P(A and B)= 0.16, Determine (i) P(not A), (ii) P(not B) and (iii) P(A or B).
Answer» ANSWER :(i) 0.58, (II) 0.52, (III) 0.74

Discussion

9862.	If the bisector angle A of the triangle ABC makes an angle theta with BC, then sin theta=
Answer» `COS . (B - C)/2` `cos. (B + C)/2` `cos. (B + A/2)` `cos. (C + A/2)` ANSWER :A

Discussion

9863.	If cos^(-1)x+Cos^(-1)y=(pi)/2 and Tan^(-1)x-Tan^(-1)y=0 then x^(2)+xy+y^(2)=
Answer» 0 `-1/2` `1/2` `3/2` ANSWER :D

Discussion

9864.	cos^(2) (A-B)+cos^(2)B-2cos(A-B) cos A cos B =
Answer» `SIN^(2)A` `sin^(2)B` `COS^(2)A` `cos^(2)B` ANSWER :A

Discussion

9865.	Find the distance between following pair of parallel lines : (ii) l( x+y) + p=0 and l( x+y) -r=0
Answer» ANSWER :`= (1)/( SQRT2) \|(p+r)/( L) \|` UNIT.

Discussion

9866.	A ray of light coming from the point (1,2) is reflected at a point A on the x-axis and it passes through the point (5,3). Find the co-ordinates of the point A.
Answer» ANSWER :`(13/5, 0)`

Discussion

9867.	If A+B+C=pi then \|(sin^(2)A,cotA,1),(sin^(2)B,cotB,1),(sin^(2)C,cotC,1)\|=
Answer» 0 1 `-1` 2 Answer :A

Discussion

9868.	the rangeof cos x +4 sqrt(2) sinx(x-(pi)/(4))+6 is
Answer» `[1,11]` `[-1,11]` `[2,10]` `[10,11]` ANSWER :1

Discussion

9869.	Eccentricity of ellipe 9x^(2) + 25y^(2) = 225 is …….
Answer» ANSWER :`(PM 4, 0)`

Discussion

9870.	If tan^(-1)(sqrt(1+x^(2))-1)/x=4^(0), then
Answer» `x=tan2^(0)` `x=tan4^(0)` `x=tan(1//4)^(0)` `x=tan8^(0)` ANSWER :D

Discussion

9871.	The sum of two positive numbers is equalto a and if the sum of their cubes is least , the numbers are
Answer» `a//3,a//3` `a//2,a//2` `a//4,a//4` `3a//3,a//4` ANSWER :B

Discussion

9872.	If (cos x)/(a) = (cos(c + theta))/(b) = (cos (x + 2 theta))/© = (cos (c + 3 theta))/(d)then (a+c)/(b+d)is equal to
Answer» `ALD ` CLD blc DLA ANSWER :C

Discussion

9873.	If 3tan^(2)theta-2sintheta=0, then general value of theta is:
Answer» `NPI` `(npi)/(2)` `(npi)/(3)` `(npi)/(4)` SOLUTION :N//A

Discussion

9874.	If f(x)=(log_(cotx)tanx)(log_(tanx)cotx)+tan^(-1)""(4x)/(4-x^2) then 2f'(2) is equal to
Answer»

Discussion

9875.	If (cos^(2)x+sec^(2)x)(1+tan^(2)2y)(3+sin3z)=4 then (x,y,z)=
Answer» `(npi,(MPI)/2,(4k-1)(pi)/6),N,m, K in Z` `((npi)/2, (mpi)/2, (4k-1)(pi)/2), n, m, k in Z` `(n pi ,m pi, (2k-1)(pi)/6), n, m, k in Z` `((npi)/2, (mpi)/2, (2k-1)(pi)/2),n, m, k in Z` Answer :A

Discussion

9876.	A card is selected from a pack of 52 cards. (a) How many points are there in the sample space? (b) Calculate the probability that the card is an ace of spades. (c ) Calculate the probability that the card is (i) an ace (ii) black card.
Answer» ANSWER :(a) 52 (B) `1/52` (C) (i) `1/13` (II) `1/2`

Discussion

9877.	cos 3x + cos x -2 cos x =0
Answer» Answer :`x = (2n +1) pi/4 , or 2n pi pm (pi)/(3), N in N`

Discussion

9878.	The triangle formed by x^(2)-3y^(2)=0 and the line x=a is
Answer» Isosceles Equilateral RIGHT ANGLED right angled isosceles Answer :B

Discussion

9879.	If 0 lt theta lt pi//2 and 2 sin theta = sqrt(3) cos 10^(@) + sin 10^(@) , thentheta =
Answer» `40^(@)` `50^(@)` `70^(@)` `80^(@)` ANSWER :C

Discussion

9880.	Write the converse of each of the following statements, In which cases is the converse true ? In order to ger this job, I must be a graduate.
Answer» ANSWER :If I am a GRADUATE, then I can GET this JOB.

Discussion

9881.	Evaluate {:(" Lt"),(xrarr0):}(1-cos2mx)/(sin^(2)nx)
Answer» ANSWER :`2(m/n)^(2)`

Discussion

9882.	In DeltaABC, a^(2)+b^(2)+c^(2)=ac+ab sqrt(3). Then the triangle is
Answer» equilateral right angled and isosceles ight angled with ONE of the acute ANGLES MEASURING `(pi)/(3)` obtuse angled ANSWER :C

Discussion

9883.	If S_(1),S_(2),S_(3),…S_(n) be the sums of those G.P. whose first terms are 1, 2, 3, …, n respectively and common ratios are (1)/(2),(1)/(3),(1)/(4),…,(1)/(n+1),then prove that : S_(1)+S_(2)+S_(3)+…+S_(n)=(1)/(2)n(n+3)
Answer» SOLUTION :N/a

Discussion

9884.	If x= sec theta - cos theta , y= sec^(n)theta - cos^(n) thetathen ((x^2+4)/(y^2+4))((dy)/(dx))^2 =
Answer» `1` `N` `n+1/4` `n^2` ANSWER :D

Discussion

9885.	The water acidity ina pool is considered normal when the average Ph reading of three daily measurements is between 7.1 and 7.6. If the first two Ph reading are 7.18 and 7.55 and if the third reading is x, find the range of Ph value for the third reading that result in the acidity level being normal.
Answer» SOLUTION :`6.57 LT X lt 8.07`

Discussion

9886.	Ifsin ( theta + alpha ) = cos ( theta + alpha ), thentan theta =
Answer» `(1+Tanalpha)/(1-Tanalpha)` `(1+Sinalpha)/(1-Sinalpha)` `(1-Tanalpha)/(1+Tanalpha)` `(1+Cosalpha)/(1-Cosalpha)` ANSWER :C

Discussion

9887.	Find the modulus of the following using the property of modulus (8+15i)/(8-6i)
Answer» ANSWER :`(17)/(10)`

Discussion

9888.	Expandthe expression(x/3 + 1/x)^5
Answer» ANSWER :`X^5`/243 + `5x^3`/81 + `10/27` x + `10/9x` + `5/`3x^3` + `1/x^5`

Discussion

9889.	If the slope of one of the line represented by 2x^(2)+3xy+Ky^(2)=0is 2 then angle between pair of lines is
Answer» `(pi)/(2)` `(pi)/(3)` `(pi)/(6)` `(pi)/(4)` Answer :A

Discussion

9890.	Let f(x) be a function defined on R such that f(x)=2010(x-2009)(x-2010)^(2)(x-2011)^(3)(x-2012)^(4) for allx inR . If g is a function defined on R with values in (0,oo) such that f(x) =ln (g(x)) for all xinR. The number of thepoints in R at which g has a local maximum is ........
Answer» ANSWER :1

Discussion

9891.	Check the continuity of the function ‘f defined by f(x)= {{:((sin2x)/(x),if x ne 0),(1,if x=0):}atx=0
Answer» ANSWER :discontinous

Discussion

9892.	Evaluate the following limits : Lt_(xto0)((1+tanx)/(1+sinx))^(cosecx)
Answer» ANSWER :1

Discussion

9893.	Find the value of (a^(2)+sqrt(a^(2)-1))^(4)+(a^(2)-sqrt(a^(2)-1))^(4)
Answer» Answer :`=2[a^(8)+6A^(6)-5a^(4)-2A^(2)+1]`

Discussion

9894.	The work done by the force barF = 2bari-3barj-2bark in moving a particle from (3,-2,5) to (1,-4,3) is
Answer» -2 -3 -4 6 Answer :D

Discussion

9895.	The owner of a milk store finds that, he can sell 980 litres of milk each week at Rs. 14/litre and 1220 litres of milk each week at Rs. 16/litre. Assuming a linear relationship between selling price and demand, how many litres could he sell weekly at Rs. 17/litre ?
Answer» Answer :OWNER of milk STORE can SALE 1340 litre milk at the RATE of Rs. 17 PER in week.

Discussion

9896.	Find the multiplicative inverse of the following complex number. (2-3i)^(2)
Answer» ANSWER :`(-5)/(169)+(12)/(169)`

Discussion

9897.	Define a relation R on the set N of natural numbers by R= {(x, y): y= x+5, x is a natural number less than 4, x, y in N). Depict this relationship using roster form. Write down the domain and the range.
Answer» ANSWER :{6, 7, 8}

Discussion

9898.	Show that sin""(pi)/5.sin""(2pi)/5.sin""(3pi)/5.sin""(4pi)/5=5/16.
Answer» `1/16` `3/16` `5/16` `7/16` ANSWER :C

Discussion

9899.	How many of these in word "BHARAT" begin with B and end with T?
Answer» ANSWER :`12`

Discussion

9900.	sqrt((1-2x)/(1+2x)) is approximately equal to:
Answer» `1-2x-X^(2)` `1+2x+x^(2)` `1+2x` `1-2x +x^(2)` ANSWER :d

Discussion

Explore topic-wise InterviewSolutions in .

(cos h x)/(1- tan hx) + (sin hx)/(1-cot hx) =

LetA = { 1, 2, { 3, 4 }, 5 }. Which of the following statements are incorrect and why? {1, 2, 5} ∈ A

LetA = { 1, 2, { 3, 4 }, 5 }. Which of the following statements are incorrect and why? 1 ⊂ A

If z=(1)/(1-cos theta- isintheta) then Re(z)=....

If tan(x+pi/4)=a, then sec^(2)x=

Given z_(1)=1 + 2i. Determine the region in the complex plane represented by 1 lt |z-z_(1)| le 3. Represent it with the help of an Argand diagram

The ratio in which 3bar(i)+4bar(j)+7bar(k) divides the join of bar(i)+2bar(j)+3bar(k) and -3bar(i)-2bar(j)-5bar(k) is

U= [1,5],A={x|x in N ,x^2-6x+5=0} then A'=....

The set of all x in ((-pi)/( 2), (pi)/(2)) satisfying |4 sin x - | lt sqrt(5) is given by

A coin is tossed four times. what will be the sample space.

A and B are events such that P(A)= 0.42, P(B)= 0.48 and P(A and B)= 0.16, Determine (i) P(not A), (ii) P(not B) and (iii) P(A or B).

If the bisector angle A of the triangle ABC makes an angle theta with BC, then sin theta=

If cos^(-1)x+Cos^(-1)y=(pi)/2 and Tan^(-1)x-Tan^(-1)y=0 then x^(2)+xy+y^(2)=

cos^(2) (A-B)+cos^(2)B-2cos(A-B) cos A cos B =

Find the distance between following pair of parallel lines : (ii) l( x+y) + p=0 and l( x+y) -r=0

A ray of light coming from the point (1,2) is reflected at a point A on the x-axis and it passes through the point (5,3). Find the co-ordinates of the point A.

If A+B+C=pi then |(sin^(2)A,cotA,1),(sin^(2)B,cotB,1),(sin^(2)C,cotC,1)|=

the rangeof cos x +4 sqrt(2) sinx(x-(pi)/(4))+6 is

Eccentricity of ellipe 9x^(2) + 25y^(2) = 225 is …….

If tan^(-1)(sqrt(1+x^(2))-1)/x=4^(0), then

The sum of two positive numbers is equalto a and if the sum of their cubes is least , the numbers are

If (cos x)/(a) = (cos(c + theta))/(b) = (cos (x + 2 theta))/© = (cos (c + 3 theta))/(d)then (a+c)/(b+d)is equal to

If 3tan^(2)theta-2sintheta=0, then general value of theta is:

If f(x)=(log_(cotx)tanx)(log_(tanx)cotx)+tan^(-1)""(4x)/(4-x^2) then 2f'(2) is equal to

If (cos^(2)x+sec^(2)x)(1+tan^(2)2y)(3+sin3z)=4 then (x,y,z)=

A card is selected from a pack of 52 cards. (a) How many points are there in the sample space? (b) Calculate the probability that the card is an ace of spades. (c ) Calculate the probability that the card is (i) an ace (ii) black card.

cos 3x + cos x -2 cos x =0

The triangle formed by x^(2)-3y^(2)=0 and the line x=a is

If 0 lt theta lt pi//2 and 2 sin theta = sqrt(3) cos 10^(@) + sin 10^(@) , thentheta =

Write the converse of each of the following statements, In which cases is the converse true ? In order to ger this job, I must be a graduate.

Evaluate {:(" Lt"),(xrarr0):}(1-cos2mx)/(sin^(2)nx)

In DeltaABC, a^(2)+b^(2)+c^(2)=ac+ab sqrt(3). Then the triangle is

If S_(1),S_(2),S_(3),…S_(n) be the sums of those G.P. whose first terms are 1, 2, 3, …, n respectively and common ratios are (1)/(2),(1)/(3),(1)/(4),…,(1)/(n+1),then prove that : S_(1)+S_(2)+S_(3)+…+S_(n)=(1)/(2)n(n+3)

If x= sec theta - cos theta , y= sec^(n)theta - cos^(n) thetathen ((x^2+4)/(y^2+4))((dy)/(dx))^2 =

Ifsin ( theta + alpha ) = cos ( theta + alpha ), thentan theta =

Find the modulus of the following using the property of modulus (8+15i)/(8-6i)

Expandthe expression(x/3 + 1/x)^5

If the slope of one of the line represented by 2x^(2)+3xy+Ky^(2)=0is 2 then angle between pair of lines is

Let f(x) be a function defined on R such that f(x)=2010(x-2009)(x-2010)^(2)(x-2011)^(3)(x-2012)^(4) for allx inR . If g is a function defined on R with values in (0,oo) such that f(x) =ln (g(x)) for all xinR. The number of thepoints in R at which g has a local maximum is ........

Check the continuity of the function ‘f defined by f(x)= {{:((sin2x)/(x),if x ne 0),(1,if x=0):}atx=0

Evaluate the following limits : Lt_(xto0)((1+tanx)/(1+sinx))^(cosecx)

Find the value of (a^(2)+sqrt(a^(2)-1))^(4)+(a^(2)-sqrt(a^(2)-1))^(4)

The work done by the force barF = 2bari-3barj-2bark in moving a particle from (3,-2,5) to (1,-4,3) is

The owner of a milk store finds that, he can sell 980 litres of milk each week at Rs. 14/litre and 1220 litres of milk each week at Rs. 16/litre. Assuming a linear relationship between selling price and demand, how many litres could he sell weekly at Rs. 17/litre ?

Find the multiplicative inverse of the following complex number. (2-3i)^(2)

Define a relation R on the set N of natural numbers by R= {(x, y): y= x+5, x is a natural number less than 4, x, y in N). Depict this relationship using roster form. Write down the domain and the range.

Show that sin""(pi)/5.sin""(2pi)/5.sin""(3pi)/5.sin""(4pi)/5=5/16.

How many of these in word "BHARAT" begin with B and end with T?

sqrt((1-2x)/(1+2x)) is approximately equal to: