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If |{:(1,cos alpha, cos beta),(cos alpha...

If `|{:(1,cos alpha, cos beta),(cos alpha, 1 , cos gamma ),(cos beta, cos gamma , 1):}|=|{:(0,cos alpha, cos beta),(cos alpha , 0 , cos gamma),(cos beta, cos gamma, 0):}|`, then the value of `cos^2 alpha + cos^2 beta + cos^2 gamma` is :

A

1

B

`1/2`

C

`3/8`

D

`9/4`

Text Solution

Verified by Experts

The correct Answer is:
A
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