Home
Class 12
MATHS
If x=sin^(-1)(3t-4t^3) and y=cos^(-1) sq...

If `x=sin^(-1)(3t-4t^3)` and `y=cos^(-1) sqrt(1-t^2)` then `(dy)/(dx)=`

A

`(1)/(2)`

B

`(2)/(5)`

C

`(3)/(5)`

D

`(1)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PRACTICE SET 22

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Mathematics|50 Videos

  • PRACTICE SET 24

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Paper 2 (Mathmatics)|50 Videos

Similar Questions

Explore conceptually related problems

If =sin^(-1)(3t-4t^(3)),y=cos^(-1)(8t^(4)-8t^(2)+1) then (dy)/(dx)=

If x=a^(sqrt(sin-1)t) and y=a^(sqrt(cos-1)t), then show that (dy)/(dx)=-(y)/(x)

Knowledge Check

  • If x=sin^(-1)(3t-4t^8) and y=cos^(-1)(sqrt(1-t^2)) , then dy/dx is equal to

    A
    `1//2`
    B
    `2//5`
    C
    `3//2`
    D
    `1//3`

  • If x=cos ^(-1) (4t^(3) -3t) ,y =tan ^(-1)((sqrt( 1-t^(2)))/( t)),then (dy)/(dx)=

    A
    ` (1)/(3) `
    B
    ` (-1)/(3)`
    C
    ` 3`
    D
    `-3`

  • If x = cos ^(-1) (t) , y = sqrt(1-t^(2)) then (dy)/(dx) = _____________

    A
    t
    B
    `-t`
    C
    `-1//t`
    D
    `1//t`

    • Similar Questions

    Explore conceptually related problems

    If x=a(t-sin t) and y=a(1+cos t) then (dy)/(dx)=

    If x=sqrt(a^sin^((-1)t)) , y=sqrt(a^cos^((-1)t)) , show that (dy)/(dx)=-y/x .

    If x=sin^(-1)(t^(2)-1),y=cos^(-1)(2t) then (dy)/(dx) at t = 0 is

    If x=(1-t^2)/(1+t^2) and y=(2t)/(1+t^2) ,then (dy)/(dx)=

    If cos x =1/sqrt(1+t^(2)) , and sin y = t/sqrt(1+t^(2)) , then (dy)/(dx) =

    Home
    Profile