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If alpha " and " beta ( alpha gt beta) ...

If `alpha " and " beta ( alpha gt beta) ` are roots of the equation ` x^(2) - sqrt2 x + sqrt( 3 - 2 sqrt 2 ) = 0", then the value of " ( cos^(-1) alpha + tan^(-1) alpha + tan ^(-1) beta) ` is equal to

A

`(3pi)/8`

B

`(5pi)/8`

C

`(7pi)/8`

D

`pi/3 `

Text Solution

Verified by Experts

The correct Answer is:
A
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