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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
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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`
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