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The value(s) of x satisfying tan^(-1)(x+...

The value(s) of `x` satisfying `tan^(-1)(x+3)-tan^(-1)(x-3)=sin^(-1)(3/5)` may be

A

`-2`

B

`-1`

C

`2`

D

No solution

Text Solution

Verified by Experts

The correct Answer is:
D
`tan^(-1)(x+3)-tan^(-1)(x-3)="sin"^(-1)(3)/(5)`
`rArr "tan"^(-1)(6)/(1+x^(2)-9)="tan"^(-1)(3)/(4)`
`rArr 24=3x^(2)-24`
`rArr 3x^(2)=48 rArr x = pm 4`
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