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A plane which bisects the angle between ...

A plane which bisects the angle between the two given planes `2x - y +2z - 4 = 0` and `x +2y +2z - 2 = 0`, passes through the point: (A) `(1,-4,1)` (B) `(1,4,-1)` (C) `(2,4,1)` (D) `(2,-4,1)`

A

(2,4,1)

B

(1,4,-1)

C

(2,-4,1)

D

(1,-4,1)

Text Solution

Verified by Experts

The correct Answer is:
C
`(2x-y+2z-4)/x=+-((x+2y+2z-2))/3`
`x-3y=2, 3x+y+4z=6`
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