14949 + Interview Questions in Maths in Class 11 Page 148 InterviewSolution

7351.	(x^(2)+1)cosx
Answer» ANSWER :`-X^(2)sinx-sinx+2xcosx`

Discussion

7352.	(x)/(1+tanx)
Answer» ANSWER :`(1+tanx-xsec^(2)X)/((1+tanx^(2)))`

Discussion

7353.	lim_(xto0)(\|x\|)/(x)=………..
Answer» 1 -1 0 Does not exists Answer :D

Discussion

7354.	Insert five number between 576 and 9. So that the resulting sequence is an G.P.
Answer» ANSWER :288, 144, 72, 36, 18

Discussion

7355.	In how many ways can 5 boys and 3 girls sit in a row so that no two girls are sit together?
Answer» ANSWER :` 14400 `

Discussion

7356.	Assertion (A): If the length (l) of the simple pendulum is decreased by 4 % then decrease in its time period (T) is 2 % Reason (R) : If y=x^(n), ratio of percentage errors in y and x is 1:n The correct answer is
Answer» Both A,R are true and R is CORRECT EXPLANATION of A. Both A,R are true but R Is not correct explanation of A. A FALSE R is true A is true R is false Answer :D

Discussion

7357.	State whether the following sets are finite or infinite.(iv) {x in R:xis a rational number}.
Answer» ANSWER :FINITE.

Discussion

7358.	The point of intersection of the pair of lines represented by 2x^(2)+5xy+2y^(2)-17x-19y+35=0is
Answer» (3,1) (-1,1) (2,1) (1,2) ANSWER :A

Discussion

7359.	If P(1+t//sqrt2,2+t//sqrt2) is any point on a line, then the range of the values of t for which the point P lie between the parallel line x+2y=1 and 2x+4y=15 is
Answer» `-4sqrt2//3lttlt5sqrt2//6 ` `0LT t LT 5sqrt2//6` `4sqrt2lttlt0` NONE of these Answer :A

Discussion

7360.	If f and g are real valued functions defined by f(x) = 2x-1 and g(x)=x^(2) then find: (i) (3f-2g)(x), (ii) (fg)(x), (iii) sqrt(f)/g (x), (iv) (f+g+2)(x)
Answer» ANSWER :(i) `-2x^(2) + 6x-3`,(ii) `2x^(3)-X^(2)` (iii) `sqrt(2x-1)/x^(2)`, (IV) `(x+1)^(2)`

Discussion

7361.	If A=[(-1,-2,-2),(2,1,-2),(2,-2,1)] and "Adj A"=A=xA^(T) then x =
Answer» 2 3 `-3` `-2` ANSWER :B

Discussion

7362.	Match the following:
Answer» `{:(A""B""C""D),(3""2""1""4):}` `{:(A""B""C""D),(3""1""4""2):}` `{:(A""B""C""D),(3""1""2""4):}` `{:(A""B""C""D),(3""2""4""1):}` ANSWER :C

Discussion

7363.	Find the derivative of f(x) = 10x.
Answer» ANSWER :10

Discussion

7364.	Range of the function (x^(3)-27)/(x-3)
Answer» `[(27)/(4), OO)` `(-oo, (27)/(4)]` `[(4)/(27), oo)` `(-oo, (4)/(27)]` ANSWER :A

Discussion

7365.	If D, E, F are mid points of sides BC, CA, AB of triangle ABC and G is centroid then {:("List-I", "List-II"), ("A) "bar(AD)+bar(BE)+bar(CF), "1) "bar(CB)), ("B) "bar(GA)+bar(GB), "2) "3bar(OG)), ("C) "bar(AB)+bar(CA),"3) "bar(O)), ("D) "bar(OD)+bar(OE)+bar(OF), "4) "-2/3(bar(AD)+bar(BE))), ("", "5) "3bar(OI)):} The correct matching is
Answer» `{:(A, B, C, D), (3, 4, 1, 2):}` `{:(A, B, C, D), (4, 2, 1, 3):}` `{:(A, B, C, D), (3, 4, 5, 1):}` `{:(A, B, C, D), (2, 3, 5, 1):}` ANSWER :A

Discussion

7366.	Find all other trigonometric ratios:cot x = 3/4,x lies in third quadrant.
Answer» Answer :`SIN X =- 4/5, COSEC x =- 5/4, COS x =- 3/5, sec x =- 5/3, tan x =- 4/3`

Discussion

7367.	Match the following:
Answer» `{:(A""B""C""D),(3""4""2""1):}` `{:(A""B""C""D),(3""4""1""2):}` `{:(A""B""C""D),(3""2""4""1):}` `{:(A""B""C""D),(3""2""1""4):}` ANSWER :A

Discussion

7368.	Match the following:
Answer» D,C,B,A B,C,D,A D,C,A,B B,C,A,D, Answer :3

Discussion

7369.	State how continuity is destroyed at x=x_0for each of the following graphs.
Answer» ANSWER :Discontinous FUNCTION

Discussion

7370.	State how continuity is destroyed at x=x_0for each of the following graphs.
Answer» ANSWER :CONTINUITY FUNCTION

Discussion

7371.	State how continuity is destroyed at x=x_0for each of the following graphs.
Answer» ANSWER :Discontinous FUNCTION

Discussion

7372.	State how continuity is destroyed at x=x_0for each of the following graphs.
Answer» ANSWER :`F(x_o^-)NE`f(X)`.

Discussion

7373.	Solve :cos 6 theta + cos 4 theta + cos 2 theta + 1 = 0, 0^(@) lt theta lt 180^(@)
Answer» Answer :`30^(@), 45^(@), 90^(@), 135^(@), 150^(@)`

Discussion

7374.	If the pair of line 2hxy+2gx+2fy+c=0 and the coordinate axes form a rectangle, then the equation of its diagonals are
Answer» 2gx+2fy+c=0, gx-fy=0 2gx+2fy-c=0, gx-fy=0 gx+fy+c=0, gx-fy=0 gx+fy+c=0, gx-fy=0 Answer :A

Discussion

7375.	If (sin alpha + "cosec" alpha )^(2) + ( cos alpha + sec alpha )^(2)=k+ tan^(2) alpha + cot^(2) alphathen k=
Answer» 9 7 5 3 Answer :B

Discussion

7376.	How many terms of the A.P. – 6, , - (11)/2 , -5 ......... are needed to give the sum –25?
Answer» ANSWER :5 or 20

Discussion

7377.	Show that the equation (1)/(x+y-a)+(1)/(x-y+a)+(1)/(y-x+a)=0 represents a parabola.
Answer»

Discussion

7378.	If sin y + e ^(-xcos y)=e then (dy)/(dx) at (1,pi) is equal to
Answer» `SIN y` `- X cosy` e `sin y -xcosy ` Answer :C

Discussion

7379.	mean of the series a , a+d, a+2d,……………, a + 2nd is…..
Answer» a + ND 2A + nd `(a + nd)/(N)` `(a + d)/(2)` ANSWER :A

Discussion

7380.	Find the domain and the range of the real function f defined by f(x)= sqrt(x-1).
Answer» ANSWER :`[0, OO)`

Discussion

7381.	Assertion (A) : \|{:(0,p-e,e-r),(e-p,0,r-p),(r-e,p-r,0):}\|=0 Reason (R) : The determinant of a skew symmetric matrix of odd order is zero.
Answer» Both A and R are TRUE and R is the CORRECT EXPLANATION of A Both A and R are true but R is not correct explanation of A A is true R is FALSE A is false R is true Answer :A

Discussion

7382.	If one diagonal of a square is the portion of line x/a+y/b=1 intercepted by the axes, then theextremities of the other diagonal of the squre are
Answer» `((a+b)/2,(a+b)/2)` `((a-b)/2,(a+b)/2)` `((a-b)/2,(a-b)/2)` `((a+b)/2,(a-b)/2)` ANSWER :A::C

Discussion

7383.	Find the area of the triangle formed by the lines y+x-6=0, 3y-x+2=0 and 3y=5x+2.
Answer» ANSWER :12 SQ UNITS

Discussion

7384.	Evaluate : lim_(x to0) (e^(x)-1)/x
Answer» ANSWER :`(log_(E)a)/(log_(e)B)=log_(b)a `

Discussion

7385.	S_(1): Iftan p theta = cot q theta " then " theta = ((2 n + 1) pi)/( p (P + q)), n in Z S_(2): Iftan (pi sin theta ) = cot (pi cos theta) , " then " sin (theta + (pi)/(4)) = pm (1)/(2 sqrt(2))
Answer» Both `S_(1)` and `S_(2)` are CORRECT `S_(1)` is TRUE `S_(2)` is FALSE `S_(1)` is false `S_(2)` is true neither `S_(1)` nor `S_(2)` is true Answer :A

Discussion

7386.	A kite flying at a height 'h' mts has ''x'' meters of string paid out at a seconds. If the kite moves horizontally with constant v mts/sec. Then the rate at which the string is paid out is
Answer» `(SQRT(X^(2)-H^(2)))/(v)mt//sec` `sqrt(x^(2)-h^(2))mt//sec` `(vsqrt(x^(2)-h^(2)))/(x)mt//sec` `(sqrt(x^(2)-h^(2)))/(h)mt//sec` ANSWER :C

Discussion

7387.	A card is drawn from a well shuffled pack of 52 cards . Findthe probability of a face card
Answer» ANSWER :`(12)/(52),i.e,(3)/(13)`

Discussion

7388.	Match the following:
Answer» SOLUTION :`TAN60^@ RARR sqrt3cos45^@rarr(1/sqrt2) , sec30^@rarr(2/sqrt3) COS90^@rarr0`

Discussion

7389.	Find the additive inverse of A where A = [(i,0,1),(0,-i, 2),(-1,1,5)]
Answer» ANSWER :`[(-i,0,-1),(0,i,-2),(1,-1,-5)]`

Discussion

7390.	If composite function f_(1)(f_(2)(f_(3)(...((f_(n))))n times is an increasing function and if r of f_(1) s are decreasingfunction while rest are increasing , then the maximum value of r(n-r) is
Answer» `(n^(2)-1)/(4)` , when n is an EVEN NUMBER `(n^(2))/(4),` when n is an ODD number `(n^(2)-1)/(4)` , when n is an odd number `(n^(2))/(4)` , when n is an even number ANSWER :C::D

Discussion

7391.	If one of the values of x of the equation 2x^(2)-6x + k= 0 " be " (1)/(2) (a+5i), find the values of a and k.
Answer» ANSWER :`a=3,K= 17`

Discussion

7392.	Find the derivative of 2x-(3)/(4)
Answer» ANSWER :2

Discussion

7393.	A variable line x//a+y//b = 1 moves in such a way that the harmonic mean of a and b is 8. Then the lest area of triangle made by the line with the coordinate axes is
Answer» 8 SP. Unit 16 sp. Unit 32 sp. Unit 64sp. Unit Answer :C

Discussion

7394.	If x = 4 +5cos thetaand y = 3 + 5 sin theta , show that the locus of the point (x, y) as thetavaries, is a circle. Find the centre and radius of the circle.
Answer» ANSWER :5

Discussion

7395.	Find P_(70)of the distribution x_(i) : 28 , 17 , 25 , 26 , 19 , 13 , 27 , 21, 16
Answer» ANSWER :`25.7`

Discussion

7396.	The value of x for which the matrix (5)/(7) is singular is _________
Answer» 9 8 7 6 Answer :B

Discussion

7397.	If…..is true and P(k) is true rArrP(k+1) is true, k gt= - 1 , then for all n in N cup {0,-1},P(n) is true.
Answer» <P>P(-1) P(0) P(1) P(2) ANSWER :A

Discussion

7398.	In Delta ABC, (a^(2) - b^(2) -c^(2) )tan A +(a^(2) -b^(2)+c^(2))tan Bis equal to
Answer» `(a^(2)+B^(2)-C^(2))TANC` `(a^(2)+b^(2)=c^(2))tanC` `(b^(2)+c^(2)-a^(2))tanC` 0 Answer :D

Discussion

7399.	Let n be a positive integer. If the coefficients of 2nd, 3rd, 4th terms in the expansion of (1+x)^n are in A.P., then find the value of n.
Answer» ANSWER :`2`

Discussion

7400.	If f(x)=cos x + {x} where {.}is fractional part function then the period of f(x) is
Answer» `2PI` 1 `pi/2` Does not exist Answer :D

Discussion

Explore topic-wise InterviewSolutions in .

(x^(2)+1)cosx

(x)/(1+tanx)

lim_(xto0)(|x|)/(x)=………..

Insert five number between 576 and 9. So that the resulting sequence is an G.P.

In how many ways can 5 boys and 3 girls sit in a row so that no two girls are sit together?

Assertion (A): If the length (l) of the simple pendulum is decreased by 4 % then decrease in its time period (T) is 2 % Reason (R) : If y=x^(n), ratio of percentage errors in y and x is 1:n The correct answer is

State whether the following sets are finite or infinite.(iv) {x in R:xis a rational number}.

The point of intersection of the pair of lines represented by 2x^(2)+5xy+2y^(2)-17x-19y+35=0is

If P(1+t//sqrt2,2+t//sqrt2) is any point on a line, then the range of the values of t for which the point P lie between the parallel line x+2y=1 and 2x+4y=15 is

If f and g are real valued functions defined by f(x) = 2x-1 and g(x)=x^(2) then find: (i) (3f-2g)(x), (ii) (fg)(x), (iii) sqrt(f)/g (x), (iv) (f+g+2)(x)

If A=[(-1,-2,-2),(2,1,-2),(2,-2,1)] and "Adj A"=A=xA^(T) then x =

Match the following:

Find the derivative of f(x) = 10x.

Range of the function (x^(3)-27)/(x-3)

Find all other trigonometric ratios:cot x = 3/4,x lies in third quadrant.

Match the following:

Match the following:

State how continuity is destroyed at x=x_0for each of the following graphs.

State how continuity is destroyed at x=x_0for each of the following graphs.

State how continuity is destroyed at x=x_0for each of the following graphs.

State how continuity is destroyed at x=x_0for each of the following graphs.

Solve :cos 6 theta + cos 4 theta + cos 2 theta + 1 = 0, 0^(@) lt theta lt 180^(@)

If the pair of line 2hxy+2gx+2fy+c=0 and the coordinate axes form a rectangle, then the equation of its diagonals are

If (sin alpha + "cosec" alpha )^(2) + ( cos alpha + sec alpha )^(2)=k+ tan^(2) alpha + cot^(2) alphathen k=

How many terms of the A.P. – 6, , - (11)/2 , -5 ......... are needed to give the sum –25?

Show that the equation (1)/(x+y-a)+(1)/(x-y+a)+(1)/(y-x+a)=0 represents a parabola.

If sin y + e ^(-xcos y)=e then (dy)/(dx) at (1,pi) is equal to

mean of the series a , a+d, a+2d,……………, a + 2nd is…..

Find the domain and the range of the real function f defined by f(x)= sqrt(x-1).

Assertion (A) : |{:(0,p-e,e-r),(e-p,0,r-p),(r-e,p-r,0):}|=0 Reason (R) : The determinant of a skew symmetric matrix of odd order is zero.

If one diagonal of a square is the portion of line x/a+y/b=1 intercepted by the axes, then theextremities of the other diagonal of the squre are

Find the area of the triangle formed by the lines y+x-6=0, 3y-x+2=0 and 3y=5x+2.

Evaluate : lim_(x to0) (e^(x)-1)/x

S_(1): Iftan p theta = cot q theta " then " theta = ((2 n + 1) pi)/( p (P + q)), n in Z S_(2): Iftan (pi sin theta ) = cot (pi cos theta) , " then " sin (theta + (pi)/(4)) = pm (1)/(2 sqrt(2))

A kite flying at a height 'h' mts has ''x'' meters of string paid out at a seconds. If the kite moves horizontally with constant v mts/sec. Then the rate at which the string is paid out is

A card is drawn from a well shuffled pack of 52 cards . Findthe probability of a face card

Match the following:

Find the additive inverse of A where A = [(i,0,1),(0,-i, 2),(-1,1,5)]

If composite function f_(1)(f_(2)(f_(3)(...((f_(n))))n times is an increasing function and if r of f_(1) s are decreasingfunction while rest are increasing , then the maximum value of r(n-r) is

If one of the values of x of the equation 2x^(2)-6x + k= 0 " be " (1)/(2) (a+5i), find the values of a and k.

Find the derivative of 2x-(3)/(4)

A variable line x//a+y//b = 1 moves in such a way that the harmonic mean of a and b is 8. Then the lest area of triangle made by the line with the coordinate axes is

If x = 4 +5cos thetaand y = 3 + 5 sin theta , show that the locus of the point (x, y) as thetavaries, is a circle. Find the centre and radius of the circle.

Find P_(70)of the distribution x_(i) : 28 , 17 , 25 , 26 , 19 , 13 , 27 , 21, 16

The value of x for which the matrix (5)/(7) is singular is _________

If…..is true and P(k) is true rArrP(k+1) is true, k gt= - 1 , then for all n in N cup {0,-1},P(n) is true.

In Delta ABC, (a^(2) - b^(2) -c^(2) )tan A +(a^(2) -b^(2)+c^(2))tan Bis equal to

Let n be a positive integer. If the coefficients of 2nd, 3rd, 4th terms in the expansion of (1+x)^n are in A.P., then find the value of n.

If f(x)=cos x + {x} where {.}is fractional part function then the period of f(x) is