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The sum of all possible values of x sati...

The sum of all possible values of x satisfying the equation `sin^(-1)(3x-4x^(3))+cos^(-1)(4x^(3)-3x)=(pi)/(2)` is

A

`-2`

B

`-1`

C

1

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
`sin^(-1)(3x-4x^(3))+cos^(-1)(4x^(3)-3x)=(pi)/(2)`
`rArr 3x-4x^(3)=4x^(3)-3x`
`rArr 8x^(3)-6x=0`
`rArr 2x(4x^(2)-3)=0`
`rArr x=0, x = pm (sqrt(3))/(2)`
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