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An agle between the plane, x + y+ z =5 a...

An agle between the plane, `x + y+ z =5` andthe line of intersection of the planes,`3x + 4y + z -1=0 and 5x +8y + 2z+ 14=0,` is :

A

`sin ^(-1) (3//sqrt17)`

B

`cos ^(-1) (3//sqrt7)`

C

`sin ^(-1) (sqrt(3//17))`

D

` cos ^(-1) (sqrt3 //17)`

Text Solution

Verified by Experts

The correct Answer is:
C
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