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Let P(1):x+y+2z-3=0 andP(2)=x-2y+z=4 be ...

Let `P_(1):x+y+2z-3=0` and`P_(2)=x-2y+z=4` be two planes. Also, let `A(1,3,4)` and `B(3,2,7)` be two points in space.
The equation of plane which passes through line of intersection of `P_(1)`and `P_(2)` and upon which length of projection of the line segment AB is the greatest, is

A

(a) `2x+3y+z+4=0`

B

(b) `3x-3y+4z-11=0`

C

(c) `x+3y+z+2=0`

D

(d) `3y+z+1=0`

Text Solution

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The correct Answer is:
D
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