14949 + Interview Questions in Maths in Class 11 Page 296 InterviewSolution

14751.	Observe the following Lists: Then the match for List -1 from List - II is:
Answer» abcd dbac dacb dbca Answer :C

Discussion

14752.	If f(x)=(x-3)/(x+1), then: f(x)=(x-3)/(x+1),
Answer» X `-x` `4X` `-4x` ANSWER :A

Discussion

14753.	Find the value of "sec" (13 (pi)/3)
Answer» ANSWER :2

Discussion

14754.	A straight line meets the coordinate axes in A and B. Find the equation of the straight line when bar(AB) is divided in the ratio 2:3 at (-5,2)
Answer» ANSWER :`3x-5y+25=0`

Discussion

14755.	Find the derivative of the following functions from first principle. (x+1)/(x-1)
Answer» ANSWER :`(-2)/((x-1)^(2))`

Discussion

14756.	A die is rolled. Let E be the event "die shows 4" and F be the event "die shows even number". Are E and F mutually exclusive?
Answer» ANSWER :No

Discussion

14757.	If P(0, 1, 2), Q(4, -2, 1) and O(0, 0, 0) are distinct points the manglePOQ = ______.
Answer» `pi/6` `pi/4` `pi/3` `pi/2` ANSWER :D

Discussion

14758.	A man running a racecourse notes that the sum of the distances from the two flag posts from him is always 10 m and the distance between the flag posts is 8 m. Find the equation of the posts traced by the man.
Answer» ANSWER :`(X^(2))/(25)+(y^(2))/(9)=1`

Discussion

14759.	If A cup B = Athen ……….
Answer» ANSWER :`B SUBA`

Discussion

14760.	Express the following in the form a+ bi ((3-i)^(2))/(2+i)
Answer» ANSWER :`2-4i`

Discussion

14761.	Find the derivativ of the function w.r.to x cot ^(-1) (sin x )
Answer» ANSWER :`(- COS x )/( 1 +SIN ^(2) x )`

Discussion

14762.	Let alpha, beta, gamma satisfy 0 lt alpha lt beta lt gamma lt 2pi and cos(x+alpha) + cos(x + beta) + cos(x + gamma) =0 for all x in R observe the following statements. Statements-I: gamma - alpha =(2pi)/3 Statement-2: cos alpha + cos beta + cos gamma=0 and sin alpha + sin beta + sin gamma=0
Answer» STATEMENT - 1 is TRUE, Statement - 2 is True, Statement - 2 is a correct EXPLANATION for Statement - 1 Statement - 1 is True, Statement - 2 is True , Statement - 2 NOT a correct explanation fot Statement - 1. Statement - 1 is True, Statement - 2 is False Statement - 1 is False, Statement - 2 is True. Answer :C

Discussion

14763.	From a class of 25 students, 10 students are to be chosen for an excursion party , There are 4 students who decide that either all of them will join or none of them will join . In how many ways can the excursion party be chosen?
Answer» ANSWER :`""^(22)C_(7)+""^(22)C_(10)`

Discussion

14764.	Compute derivative of f(x)=sin 2x
Answer» ANSWER :`2(COS^(2)X-sin^(2)x)`

Discussion

14765.	From the digits 1,2,3,4,5,6 how many three - digit odd numbers can be formed when the repetition of the digits is not allowed?
Answer» ANSWER :` 60`

Discussion

14766.	Write the following as interval. {x : x in R, 4 le xlt 16}
Answer» ANSWER :`(4, 16)`

Discussion

14767.	Find equation of line passes from point of intersection at lines 2x+3y-4=0 and x-5y=7 whose x-intercept is -4.
Answer» ANSWER :`10X + 93y+40=0` which is REQUIRED EQUATION.

Discussion

14768.	Perform the indicated operation and give your answer in the form x+yi, where x and y are real numbers and i= sqrt(-1) (sqrt5-7i) (sqrt5-7i)^(2) + (-2+ 7i)^(2)
Answer» ANSWER :`-(142 SQRT5 + 45) + 210i`

Discussion

14769.	Perform the indicated operation and give your answer in the form x+yi, where x and y are real numbers and i= sqrt(-1) (5-3i)/(6+i)
Answer» ANSWER :`(27)/(37)-(23)/(37)i`

Discussion

14770.	Find the coordinates of the point which trisect the line segment joining A(2,1,-3) and B(5,-8,3).
Answer» ANSWER :(3,-2,-1),(4,-5,1)

Discussion

14771.	Perform the indicated operation and give your answer in the form x+yi, where x and y are real numbers and i= sqrt(-1) (5+2i)/(-1+sqrt3i)
Answer» ANSWER :`(-5 +2SQRT3 )/(4) + (5 sqrt3-2)/(4)`

Discussion

14772.	Perform the indicated operation and give your answer in the form x+yi, where x and y are real numbers and i= sqrt(-1) (2- sqrt(-25))/(1- sqrt(-16))
Answer» ANSWER :`(22)/(17) + (3)/(17)i`

Discussion

14773.	Perform the indicated operation and give your answer in the form x+yi, where x and y are real numbers and i= sqrt(-1) (3+4i)^(-1)
Answer» ANSWER :`(3)/(25)-(4)/(25)i`

Discussion

14774.	If A,B are the feet of the perpendicular from P (2,4,5) to the x-axis and y-axis respectively, thenAB =
Answer» ANSWER :`2SQRT5`

Discussion

14775.	if a, b, c are in A.P., b, c, d are in G.P. and (1)/(c),(1)/(d),(1)/(e) are in A.P., then prove that a, c, e are in G.P.
Answer» SOLUTION :N/a

Discussion

14776.	Show thatDelta =(a^(2))/( 2( cot B+ cot C ) )
Answer» ` DELTA ` `2 Delta ` ` (Delta)/(2) ` ` 3Delta` ANSWER :A

Discussion

14777.	Internal bisector of an angle angle Aof triangle ABC meets side BC at D. A line drawn through D perpendicular to AD intersects the side AC at E and the side AB at F. If a, b, c represent the sides of DABC then
Answer» AE is H.M. of b and c `AD = (2BC)/(b+c) cos (A//2)` `EF = (4BC)/(b+c) sin (A//2)` The triangle AEF is isosceles Answer :A::B::C::D

Discussion

14778.	Ifcos x= tan y , coty= tan z , cot z= tan x then sin x=
Answer» `SIN 18^(@)` `1/2"sin" 18^(@)` `sin 36^(@)` `2SIN 18^(@)` ANSWER :D

Discussion

14779.	Fill in the blanks :""^(n)C_(r )=………. .
Answer» ANSWER :`""^(N)C_(a)=(n!)/(R!(n-r)!)`

Discussion

14780.	Find the value of n such that ""^(n)P_(5)=42""^(n)P_(3), n gt 4
Answer» ANSWER :10

Discussion

14781.	If A= {1, 2, 3}, B= {3, 4} and C= {4, 5, 6}, then (A xx B) uu (A xx C) = {(1, 3), (1,4), (1,5), (1,6), (2,3), (2,4), (2,5), (2,6), (3,3), (3,4), (3,5),(3,6)}
Answer» ANSWER :1

Discussion

14782.	d/(dx) ("Tan"^(-1) (x)/(sqrt(a^2 - x^2)))=
Answer» `1/(SQRT(a^2 + X^2))` `(-1)/(sqrt(a^2 + x^2))` `(x)/(sqrt(a^2 - x^2))` `(1)/(sqrt(a^2 - x^2))` ANSWER :D

Discussion

14783.	A straight line passing through the point (87,33) cuts the positive direction of the co=ordinate axes at the point P and Q. If O isthe origin then minimum area of the triangle OPQ is P then P-5740is
Answer» ANSWER :7

Discussion

14784.	Asserton (A ) : 2^(sin theta) + 2 ^(cos theta)le 2^(1-(1)/(sqrt(2)) for allvaluesof theta Reason (R ) : The minimum value ofsin theta+ cos thetais -sqrt(2)
Answer» A is true, R is true and R is CORRECT explanation of A A is true, R is true and R is not correct explanation of A A is true, R is false A is false, R is true. Answer :A

Discussion

14785.	Evaluate [i^(18) + (1/i)^(25)]^(3)
Answer» ANSWER :`2-2i`

Discussion

14786.	Find the multiplicative inverse of the following complex number. 1-i
Answer» ANSWER :`(1)/(2)+(1)/(2)i`

Discussion

14787.	The solution set of tan theta=3cottheta is
Answer» `{npipm(PI)/(3)}` `{npipm(pi)/(4)}` `{npipm(pi)/(6)}` `{npipm(pi)/(12)}` ANSWER :A

Discussion

14788.	If the area of the triangle formed by the pair of lines 8x^(2)-6xy+y^(2)=0 and the line 2x+3y=a is 7 then a=
Answer» 14 `14sqrt(2)` `28sqrt(2)` 28 Answer :D

Discussion

14789.	Find the derivative of f(x)=1+x+x^(2)+x^(3)+…+x^(50)" at "x=1.
Answer» ANSWER :1275

Discussion

14790.	Evaluate (n!)/((n-r)!), when n = 9, r = 5
Answer» ANSWER :15120

Discussion

14791.	Find the domain and range of the function f (x) = sqrt( x^2 - 3x +2)
Answer» SOLUTION :DOMAIN = `(-infty,1] cup [2,infty), RANGE : (0,infty)]`

Discussion

14792.	Let f(x)=x^(4)-4x^(3)+6x^(2)-4x+1Then ,
Answer» fincreases on `[1,OO)` f DECREASES on `[1,oo)` FHAS a minimum at x=1 f has neither maximum nor minimum Answer :A::C

Discussion

14793.	Find r if 5 P(4,r) = 6P ( 5,r-1) ,r ge 1.
Answer» ANSWER :` 3`

Discussion

14794.	Which of the following number(s) is/are rational ?
Answer» `sin 15^(@)` `cos 15^(@)` `sin 15^(@) cos15^(@)` `sin15^(@) cos75^(@)` Answer :C

Discussion

14795.	Domain of the function defined by f(x)= sqrt(4x-x^(2)) is……
Answer» `R-[0,4]` `R-(0, 4)` (0, 4) [0, 4] ANSWER :D

Discussion

14796.	If "Cos"^(-1)x/a+"Cos"^(-1)y/b=(5pi)/12 and "Sin"^(-1)x/a-"Sin"^(-1)y/b=(pi)/12 then (x^(2))/(a^(2))+(y^(2))/(b^(2))=
Answer» `1` `1/4` `3/4` `5/4` ANSWER :D

Discussion

14797.	Find the sum of the products of the corresponding terms of the sequences 2, 4, 8, 16, 32 and 128 , 32 , 8 , 2 1/2
Answer» ANSWER :496

Discussion

14798.	Find the derivative of the w.r.t.x sqrt (cossqrtx)
Answer» Answer :`(- sin SQRTX)/( 4 sqrtx SQRT COS sqrtx)`

Discussion

14799.	The perimeter of the triangle with vertices at(1, 0,0 ), (0,1,0 ) and (0,0,1 ) is :
Answer» `SQRT2` `2SQRT2` `3sqrt2` `4sqrt2` ANSWER :C

Discussion

14800.	Two sets each of 20 observations , have the same standard deviation 5. The first set has a mean 17 and the second a mean 22. Determine the standard deviation of the set obtained by combining the given two sets.
Answer» ANSWER :5.59

Discussion

Explore topic-wise InterviewSolutions in .

Observe the following Lists: Then the match for List -1 from List - II is:

If f(x)=(x-3)/(x+1), then: f(x)=(x-3)/(x+1),

Find the value of "sec" (13 (pi)/3)

A straight line meets the coordinate axes in A and B. Find the equation of the straight line when bar(AB) is divided in the ratio 2:3 at (-5,2)

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

A die is rolled. Let E be the event "die shows 4" and F be the event "die shows even number". Are E and F mutually exclusive?

If P(0, 1, 2), Q(4, -2, 1) and O(0, 0, 0) are distinct points the manglePOQ = ______.

A man running a racecourse notes that the sum of the distances from the two flag posts from him is always 10 m and the distance between the flag posts is 8 m. Find the equation of the posts traced by the man.

If A cup B = Athen ……….

Express the following in the form a+ bi ((3-i)^(2))/(2+i)

Find the derivativ of the function w.r.to x cot ^(-1) (sin x )

Let alpha, beta, gamma satisfy 0 lt alpha lt beta lt gamma lt 2pi and cos(x+alpha) + cos(x + beta) + cos(x + gamma) =0 for all x in R observe the following statements. Statements-I: gamma - alpha =(2pi)/3 Statement-2: cos alpha + cos beta + cos gamma=0 and sin alpha + sin beta + sin gamma=0

From a class of 25 students, 10 students are to be chosen for an excursion party , There are 4 students who decide that either all of them will join or none of them will join . In how many ways can the excursion party be chosen?

Compute derivative of f(x)=sin 2x

From the digits 1,2,3,4,5,6 how many three - digit odd numbers can be formed when the repetition of the digits is not allowed?

Write the following as interval. {x : x in R, 4 le xlt 16}

Find equation of line passes from point of intersection at lines 2x+3y-4=0 and x-5y=7 whose x-intercept is -4.

Perform the indicated operation and give your answer in the form x+yi, where x and y are real numbers and i= sqrt(-1) (sqrt5-7i) (sqrt5-7i)^(2) + (-2+ 7i)^(2)

Perform the indicated operation and give your answer in the form x+yi, where x and y are real numbers and i= sqrt(-1) (5-3i)/(6+i)

Find the coordinates of the point which trisect the line segment joining A(2,1,-3) and B(5,-8,3).

Perform the indicated operation and give your answer in the form x+yi, where x and y are real numbers and i= sqrt(-1) (5+2i)/(-1+sqrt3i)

Perform the indicated operation and give your answer in the form x+yi, where x and y are real numbers and i= sqrt(-1) (2- sqrt(-25))/(1- sqrt(-16))

Perform the indicated operation and give your answer in the form x+yi, where x and y are real numbers and i= sqrt(-1) (3+4i)^(-1)

If A,B are the feet of the perpendicular from P (2,4,5) to the x-axis and y-axis respectively, thenAB =

if a, b, c are in A.P., b, c, d are in G.P. and (1)/(c),(1)/(d),(1)/(e) are in A.P., then prove that a, c, e are in G.P.

Show thatDelta =(a^(2))/( 2( cot B+ cot C ) )

Internal bisector of an angle angle Aof triangle ABC meets side BC at D. A line drawn through D perpendicular to AD intersects the side AC at E and the side AB at F. If a, b, c represent the sides of DABC then

Ifcos x= tan y , coty= tan z , cot z= tan x then sin x=

Fill in the blanks :""^(n)C_(r )=………. .

Find the value of n such that ""^(n)P_(5)=42""^(n)P_(3), n gt 4

If A= {1, 2, 3}, B= {3, 4} and C= {4, 5, 6}, then (A xx B) uu (A xx C) = {(1, 3), (1,4), (1,5), (1,6), (2,3), (2,4), (2,5), (2,6), (3,3), (3,4), (3,5),(3,6)}

d/(dx) ("Tan"^(-1) (x)/(sqrt(a^2 - x^2)))=

A straight line passing through the point (87,33) cuts the positive direction of the co=ordinate axes at the point P and Q. If O isthe origin then minimum area of the triangle OPQ is P then P-5740is

Asserton (A ) : 2^(sin theta) + 2 ^(cos theta)le 2^(1-(1)/(sqrt(2)) for allvaluesof theta Reason (R ) : The minimum value ofsin theta+ cos thetais -sqrt(2)

Evaluate [i^(18) + (1/i)^(25)]^(3)

Find the multiplicative inverse of the following complex number. 1-i

The solution set of tan theta=3cottheta is

If the area of the triangle formed by the pair of lines 8x^(2)-6xy+y^(2)=0 and the line 2x+3y=a is 7 then a=

Find the derivative of f(x)=1+x+x^(2)+x^(3)+…+x^(50)" at "x=1.

Evaluate (n!)/((n-r)!), when n = 9, r = 5

Find the domain and range of the function f (x) = sqrt( x^2 - 3x +2)

Let f(x)=x^(4)-4x^(3)+6x^(2)-4x+1Then ,

Find r if 5 P(4,r) = 6P ( 5,r-1) ,r ge 1.

Which of the following number(s) is/are rational ?

Domain of the function defined by f(x)= sqrt(4x-x^(2)) is……

If "Cos"^(-1)x/a+"Cos"^(-1)y/b=(5pi)/12 and "Sin"^(-1)x/a-"Sin"^(-1)y/b=(pi)/12 then (x^(2))/(a^(2))+(y^(2))/(b^(2))=

Find the sum of the products of the corresponding terms of the sequences 2, 4, 8, 16, 32 and 128 , 32 , 8 , 2 1/2

Find the derivative of the w.r.t.x sqrt (cossqrtx)

The perimeter of the triangle with vertices at(1, 0,0 ), (0,1,0 ) and (0,0,1 ) is :

Two sets each of 20 observations , have the same standard deviation 5. The first set has a mean 17 and the second a mean 22. Determine the standard deviation of the set obtained by combining the given two sets.