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The equation sin ^(-1)"" x=2sin ^(-1)...

The equation ` sin ^(-1)"" x=2sin ^(-1)2a ` has real roots if

A

`|a|lt(1)/(sqrt(2))`

B

`(1)/(2sqrt(2))lt |a|lt (1)/(sqrt(2))`

C

`|a|gt (1)/(2sqrt(2))`

D

`|a|lt (1)/(2sqrt(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
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