Home
Class 12
MATHS
sin^(-1)(x^2/4+y^2/9)+cos^(-1)(x/(2sqrt2...

`sin^(-1)(x^2/4+y^2/9)+cos^(-1)(x/(2sqrt2)+y/(3sqrt2)-2)`

A

`(pi)/(2)`

B

`pi`

C

`(pi)/(sqrt(2))`

D

`(3pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNTIONS

    VK JAISWAL|Exercise Exercise-2 : One or More than One Answer is/are Correct|6 Videos

  • INVERSE TRIGONOMETRIC FUNTIONS

    VK JAISWAL|Exercise Exercise-3 : Comprehension Type Problems|2 Videos

  • INDEFINITE AND DEFINITE INTEGRATION

    VK JAISWAL|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|29 Videos

  • LIMIT

    VK JAISWAL|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|7 Videos

Similar Questions

Explore conceptually related problems

sin ^ (- 1) ((x ^ (2)) / (4) + (y ^ (2)) / (9)) + cos ^ (- 1) ((x) / (2sqrt (2)) + (y) / (3sqrt (2)) - 2)

y=sin^(-1)((x)/(sqrt(1+x^(2))))+cos^(-1)((1)/(sqrt(1+x^(2))))

Find (dy)/(dx) in the following: y=sin^(-1)(2x sqrt(1-x^(2))),-(1)/(sqrt(2))

sin^(-1)x+sin^(-1)y=cos^(-1)(sqrt(1-x^(2))sqrt(1-y^(2))-xy) if x in[0,1],y in[0,1]

If y=sin^(-1)(x/(sqrt(1+x^2)))+cos^(-1)(1/(sqrt(1+x^2))), 0

sin^(-1)(2x sqrt(1-x^(2)))+sin^(-1)(3x-4x^(3))=(7 pi)/(9)in((1)/(2)*(1)/(sqrt(2))) is

If I=int(sin x+sin^(3)x)/(cos2x)dx=P cos x+Q log|f(x)|+R then (a)P=(1)/(2),Q=-(3)/(4sqrt(2))(b)P=(1)/(4),Q=(1)/(sqrt(2)) (c) f(x)=(sqrt(2)cos x+1)/(sqrt(2)cos x-1)(d)f(x)=(sqrt(2)cos x-1)/(sqrt(2)cos x+1)

If x in[(sqrt(3))/(2), 1] then [sin^(-1){(x)/(sqrt(2))+(sqrt(1-x^(2)))/(sqrt(2))}-sin^(-1)x]=

If tan^(-1)x+cos^(-1)((y)/(sqrt(1+y^(2))))=sin^(-1)((3)/(sqrt(10))) , then

f(x)=sqrt(sin(cos x))+ln(-2cos^(2)x+3cos x+1)+e^(cos^(-1))((2sin x+1)/(2sqrt(2sin x)))