14949 + Interview Questions in Maths in Class 11 Page 276 InterviewSolution

13751.	The solution set of tan(4k+2)x-tan(4k+1)x-tan(4k+2)x.tan(4k+1)x=1, k in Z is
Answer» `phi` `(PI)/4` `{n pi +(pi)/4, n in Z}` `{2N pi +(pi)/4, n in Z}` ANSWER :A

Discussion

13752.	Evaluate the following limits in lim_(xrarr3)x+3
Answer» ANSWER :6

Discussion

13753.	The value of "tan" (pi)/(16) + "2 tan" (pi)/(8) + 4 is equal to
Answer» `"cot" (PI)/(8)` `"cot" (pi)/(16)` `"cot" (pi)/(16) - 4` 0 Answer :B

Discussion

13754.	Evaluate the following limits : Lim _( xto 0) (tan x - tan a)/(sin a - sin x )
Answer» ANSWER :`-SEC^(3)a`

Discussion

13755.	ABCD is a square. P is a point inside the square such that PA = 3, PB = 7, PD = 5. Then area ofsquare ABCD is …………..
Answer» 28 58 38 48 Answer :B

Discussion

13756.	A and B are non null sets. Any one out of A and B is infinite then A xx Bis …..
Answer» ANSWER :INFINITE SET

Discussion

13757.	The maximumvalue of (3 ) /( 5 sin x-12 cos x+19)is
Answer» `1` `1/2` `1/3` `1/4` ANSWER :B

Discussion

13758.	1 to 7, describe the sample space for the indicated experiment. A coin is tossed and then a die is rolled only in case a head is shown on the coin.
Answer» ANSWER :`S={H1,H2,H3,H4,H5,H6,T}`

Discussion

13759.	(vec(a) xx vec(b), vec(b) xx vec(a))=
Answer» `180^(@)` `90^(@)` `120^(@)` `60^(@)` ANSWER :A

Discussion

13760.	Write the following interval in set builder form. (0, 8)
Answer» Answer :`{x : x in R, 0 le x LT 8}`

Discussion

13761.	Evaluate : lim_(x to 9)(x^(3/2)-27)/(x-9)
Answer» ANSWER :`9/2`

Discussion

13762.	If in DeltaABC, AC is double AB, then value of "cot"(A)/(2)"cot"(B-C)/(2) is equal to
Answer» `(1)/(3)` `-(1)/(3)` 3 `(1)/(2)` ANSWER :C

Discussion

13763.	A wheel rotates making 20 revolutions per second,If the radius of the wheel is 35 cm,what linear distance does a point of its rim traverse in three minutes?
Answer» ANSWER :7.92 KM.

Discussion

13764.	If (sin x)/(sin y)=1/2, (cos x)/(cos y)=3/2 = 3/2, where x, y in (0,pi/4), then the value of tan(x+y) is equal to:
Answer» `SQRT(13)` `sqrt(14)` `sqrt(17)` `sqrt(15)` Answer :D

Discussion

13765.	R = {(a, b): b= \|a-1\|, a in Z and \|a\| le 3}. Find the domain and Range of R
Answer» Answer :Domain `= {-3, -2, -1, 0, 1, 2, 3}` RANGE ={0, 1, 2, 3, 4}

Discussion

13766.	If the portion of a straight line intercepted between the axes of co-ordinates is bisected at (2p,2q), write the equation of the straight line.
Answer» ANSWER :`x/p+y/q=4`

Discussion

13767.	If the set A has 3 elements and the set B =(3, 4, 5), then find the number of elements in (A xx B).
Answer» Answer :The number of ELEMENTS in `A XX B` is 9.

Discussion

13768.	Find the range of each of the following functions. (i) f(x)=2-3x, x in R, x gt 0 (ii) f(x)=x^(2)+2, x is a real number. (iii) f(x) = x, x is a real number
Answer» ANSWER :(i) RANGE `=(-OO,2)` (ii) Range `=[2,oo)` (iii) Range =R

Discussion

13769.	The principal value of Sin^(-1)(Tan((-5pi)/4)) is
Answer» `(PI)/4` `(-pi)/4` `(pi)/2` `(-pi)/2` ANSWER :D

Discussion

13770.	If x is a real number and \|x \| lt 5, then
Answer» `X le 5` ` - 5 LT x lt 5` ` x le -5` `- 5 le x le 5` Answer :B

Discussion

13771.	If a st. line passes through the point (1/5,1/5) and ab=1/6 where a,b are the intercepts of the line on the co ordinate axes, then the equation of the line is
Answer» `2x+3y=1` `2x+3y-2=0` `4x+y-1=0` `x+4y-1=0` ANSWER :A

Discussion

13772.	Find the square root of the following complex numbers 3+4i
Answer» ANSWER :`+- (2+i)`

Discussion

13773.	If the inequality sin^(2) x + a cos x + a^(2) gt 1 + cos x holds for any x in R, then the largest negative integral value of a is
Answer» -4 -3 -2 -1 Answer :B

Discussion

13774.	How many factors are there of the number 2520?
Answer» ANSWER :48

Discussion

13775.	Find the square roots of the following : 4-6 sqrt(5)i
Answer» ANSWER :`+-(3- SQRT(5)i)`

Discussion

13776.	Index numbercalculatedfor the year2019using 2015 as the base year is 114.9 .If commodity is sold for Rs 5.75 in 2015 , then the selling price in 2019 is
Answer» RS `7.57` Rs `6.61 ` Rs` 6.16` Rs `66.1 ` ANSWER :B

Discussion

13777.	Ifc^(2) = a^(2)+ b^(2)then 4s ( s-a) ( s-b) ( s-c) =
Answer» ` a^(2) B^(2) ` ` a^(2) + b^(2) ` ` ( a^(2))/( b^(2))` ` a ^(2)- b^(2) ` ANSWER :A

Discussion

13778.	Convert each of the complex number in the polar form: -1-i
Answer» Answer :`SQRT(2)(COS-(3pi)/4 +isin(-3pi)/4)`

Discussion

13779.	The locus of the point which is equidistant from xy plane and yz - plane is
Answer» ANSWER :`Z^(2)-X^(2)=0`

Discussion

13780.	Convert each of the complex number in the polar form: -1+i
Answer» ANSWER :`(SQRT(2)(COS 3PI)/4 + isin(3pi)/4)`

Discussion

13781.	Let f(x)=2x-sinxand g(x)=root(3)(x). Then,
Answer» RANGE of gof is R gof is one -one both F and G are one -one both FAND g are onto Answer :A::B::C::D

Discussion

13782.	If the p^("th"), q^("th")and r^("th")terms of a G.P. are a, b and c, respectively. Prove that a^(q – r) b^(r-p) c^(P - q) = 1.
Answer» ANSWER :1

Discussion

13783.	Evaluate the following limits : Lim_(x to 0)(sin^(2)3x)/(x^(2))
Answer» ANSWER :9

Discussion

13784.	If f(x)=x^(11)+x^(9)-x^(7)+x^(3)+1 and f(sin^(-1)(sin8))=alpha, alpha is a constant, then f(tan^(-1)(Tan8)) is equal to
Answer» `ALPHA` `alpha-2` `alpha+2` `2-alpha` ANSWER :D

Discussion

13785.	Convert each of the complex number in the polar form: 1-i
Answer» ANSWER :`SQRT(2) (COS -pi/4 + I SIN -pi/4)`

Discussion

13786.	Calcualte the mean deviation from the median of the following data :
Answer» ANSWER :7

Discussion

13787.	.......is the minimum value of x which satisfy the in quality 2x +4+3(x-5) gt7.
Answer» ANSWER :4

Discussion

13788.	If cos theta + cos 7theta + cos 3theta + cos 5 theta =0, then thetais
Answer» `(npi)/(4)` `(npi)/(2)` `(npi)/(8)` None of these ANSWER :C

Discussion

13789.	The marks obtained by a student of Class XI in first and second terminal examination are 62 and 48, respectively. Find the minimum marks he should get in the annual examination to have an average of at least 60 marks.
Answer» Answer :the STUDENT must OBTAIN a MINIMUM of 70 marks to GET an average of at LEAST 60 marks.

Discussion

13790.	If one the lines in the pair of stright lines given by 4x^2+6xy+ky^2=0 bisects the angle between the coordinate axes, then k in
Answer» {-2,-10} {-2,10} {-10,2} {2,10} ANSWER :C

Discussion

13791.	Convert each of the complex number in the polar form: -3
Answer» ANSWER :`3(COS PI + isinpi)`

Discussion

13792.	Find the direction ratios of the line bisecting the angles between the lines whose direction cosines are l_(1), m_(1), n_(1) and l_(2), m_(2), n_(2) and the angle between the lines is theta.
Answer» Answer :`l_(1)pml_(2),m_(1)pmm_(2),n_(1)pmn_(2).`

Discussion

13793.	A point p moves with an angular velocity 2 radians/sec on the circumference of a circle with cente O and radius 2cms. PM is perpendicular to the diameter of the circle such that anglePOM= theta. If the velocity of the point M is zero, then values of theta are
Answer» `0, pi` `(pi)/(2), pi` `(pi)/(3),(pi)/(6)` `(pi)/(4),(3pi)/(4)` ANSWER :A

Discussion

13794.	Let f(x) be defined for allx gt 0and be continuous Let f(x)satisfiesf((x)/( y)) = f(x)- f(y )for all x,y and f(e) = 1Then
Answer» F(x) is BOUNDED `f(1/x) RARR 0` an `x rarr 0` `XF(x) rarr 1` as `x rarr 0` `f(x)=log_(e)x` Answer :D

Discussion

13795.	sin^(2)12^(0)+sin^(2)21^(0)+sin^(2)39^(0)+ sin^(2)48^(2)-sin^(2)9^(0)- sin^(2) 18^(0)=
Answer» 0 1 `-1` 2 Answer :B

Discussion

13796.	Find the middle term in the following expansion: (i) (x^(2)-(1)/(x^2))^(10)(ii) ((x)/(a)+(a)/(x))^(12)(iii) ((a)/(x)+bx)^(2n)""(iv) (x-(1)/(x))^(9)(v) (1-3x+3x^(2)-x^(3))^(6)(vi) (x^(2)-a)^(11) ""(vii) (2x-(3)/(x^2))^(15)
Answer» SOLUTION :N/a

Discussion

13797.	Expandthe expression(2x-3)^6
Answer» ANSWER :64 `X^6` -576 `x^5` + 2160 `x^4` - 4320 `x^3` + 4860 `x^2` - 2916 x + 729

Discussion

13798.	Evaluate the following limits in lim_(xrarr0)(cosx)/(pi-x)
Answer» ANSWER :`(1)/(PI)`

Discussion

13799.	Which of the following is the conditional ptoq?
Answer» Q is sufficient for p p is NECESSARY for q. p only if q if q, then p Answer :C

Discussion

13800.	Compute 2 bar(j) xx (3bar(i) - 4bar(k)) + (bar(i)+2bar(j)) xx bar(k).
Answer» ANSWER :`-6 VEC(i) - vec(J)- 6vec(K)`

Discussion

Explore topic-wise InterviewSolutions in .

The solution set of tan(4k+2)x-tan(4k+1)x-tan(4k+2)x.tan(4k+1)x=1, k in Z is

Evaluate the following limits in lim_(xrarr3)x+3

The value of "tan" (pi)/(16) + "2 tan" (pi)/(8) + 4 is equal to

Evaluate the following limits : Lim _( xto 0) (tan x - tan a)/(sin a - sin x )

ABCD is a square. P is a point inside the square such that PA = 3, PB = 7, PD = 5. Then area ofsquare ABCD is …………..

A and B are non null sets. Any one out of A and B is infinite then A xx Bis …..

The maximumvalue of (3 ) /( 5 sin x-12 cos x+19)is

1 to 7, describe the sample space for the indicated experiment. A coin is tossed and then a die is rolled only in case a head is shown on the coin.

(vec(a) xx vec(b), vec(b) xx vec(a))=

Write the following interval in set builder form. (0, 8)

Evaluate : lim_(x to 9)(x^(3/2)-27)/(x-9)

If in DeltaABC, AC is double AB, then value of "cot"(A)/(2)"cot"(B-C)/(2) is equal to

A wheel rotates making 20 revolutions per second,If the radius of the wheel is 35 cm,what linear distance does a point of its rim traverse in three minutes?

If (sin x)/(sin y)=1/2, (cos x)/(cos y)=3/2 = 3/2, where x, y in (0,pi/4), then the value of tan(x+y) is equal to:

R = {(a, b): b= |a-1|, a in Z and |a| le 3}. Find the domain and Range of R

If the portion of a straight line intercepted between the axes of co-ordinates is bisected at (2p,2q), write the equation of the straight line.

If the set A has 3 elements and the set B =(3, 4, 5), then find the number of elements in (A xx B).

Find the range of each of the following functions. (i) f(x)=2-3x, x in R, x gt 0 (ii) f(x)=x^(2)+2, x is a real number. (iii) f(x) = x, x is a real number

The principal value of Sin^(-1)(Tan((-5pi)/4)) is

If x is a real number and |x | lt 5, then

If a st. line passes through the point (1/5,1/5) and ab=1/6 where a,b are the intercepts of the line on the co ordinate axes, then the equation of the line is

Find the square root of the following complex numbers 3+4i

If the inequality sin^(2) x + a cos x + a^(2) gt 1 + cos x holds for any x in R, then the largest negative integral value of a is

How many factors are there of the number 2520?

Find the square roots of the following : 4-6 sqrt(5)i

Index numbercalculatedfor the year2019using 2015 as the base year is 114.9 .If commodity is sold for Rs 5.75 in 2015 , then the selling price in 2019 is

Ifc^(2) = a^(2)+ b^(2)then 4s ( s-a) ( s-b) ( s-c) =

Convert each of the complex number in the polar form: -1-i

The locus of the point which is equidistant from xy plane and yz - plane is

Convert each of the complex number in the polar form: -1+i

Let f(x)=2x-sinxand g(x)=root(3)(x). Then,

If the p^("th"), q^("th")and r^("th")terms of a G.P. are a, b and c, respectively. Prove that a^(q – r) b^(r-p) c^(P - q) = 1.

Evaluate the following limits : Lim_(x to 0)(sin^(2)3x)/(x^(2))

If f(x)=x^(11)+x^(9)-x^(7)+x^(3)+1 and f(sin^(-1)(sin8))=alpha, alpha is a constant, then f(tan^(-1)(Tan8)) is equal to

Convert each of the complex number in the polar form: 1-i

Calcualte the mean deviation from the median of the following data :

.......is the minimum value of x which satisfy the in quality 2x +4+3(x-5) gt7.

If cos theta + cos 7theta + cos 3theta + cos 5 theta =0, then thetais

The marks obtained by a student of Class XI in first and second terminal examination are 62 and 48, respectively. Find the minimum marks he should get in the annual examination to have an average of at least 60 marks.

If one the lines in the pair of stright lines given by 4x^2+6xy+ky^2=0 bisects the angle between the coordinate axes, then k in

Convert each of the complex number in the polar form: -3

Find the direction ratios of the line bisecting the angles between the lines whose direction cosines are l_(1), m_(1), n_(1) and l_(2), m_(2), n_(2) and the angle between the lines is theta.

A point p moves with an angular velocity 2 radians/sec on the circumference of a circle with cente O and radius 2cms. PM is perpendicular to the diameter of the circle such that anglePOM= theta. If the velocity of the point M is zero, then values of theta are

Let f(x) be defined for allx gt 0and be continuous Let f(x)satisfiesf((x)/( y)) = f(x)- f(y )for all x,y and f(e) = 1Then

sin^(2)12^(0)+sin^(2)21^(0)+sin^(2)39^(0)+ sin^(2)48^(2)-sin^(2)9^(0)- sin^(2) 18^(0)=

Find the middle term in the following expansion: (i) (x^(2)-(1)/(x^2))^(10)(ii) ((x)/(a)+(a)/(x))^(12)(iii) ((a)/(x)+bx)^(2n)""(iv) (x-(1)/(x))^(9)(v) (1-3x+3x^(2)-x^(3))^(6)(vi) (x^(2)-a)^(11) ""(vii) (2x-(3)/(x^2))^(15)

Expandthe expression(2x-3)^6

Evaluate the following limits in lim_(xrarr0)(cosx)/(pi-x)

Which of the following is the conditional ptoq?

Compute 2 bar(j) xx (3bar(i) - 4bar(k)) + (bar(i)+2bar(j)) xx bar(k).