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Let pi(1)and pi(2) be two planes and ang...

Let `pi_(1)and pi_(2)` be two planes and `angle` be a line such thet
`pi_(1): x + 2y + 3z = 14`
`pi_(2) : 2x - y +3z = 27`
`angle : (x+1)/2=(y+1)/3=(z+1)/4`
If the line `angle` meets the plane `pi_(1)` in `P(alpha, beta, gamma),`
Then `alpha^(2)+beta^(2)+gamma^(2)` is equal to

A

2

B

14

C

28

D

29

Text Solution

Verified by Experts

The correct Answer is:
B
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