A line L passes through the point `P(5, -6,7)`. and is parallel to the planes `x+y+ z=1` and `2x -y-2z=3`. What are the direction ratios of the line of intersection of the given planes?

Options

A. lt 1,4,3 gt
B. lt -1,-4,3 gt
C. lt 1,-4,3 gt
D. lt 1, -4,-3 gt

Answer

C

Explanation

Let a,b,c be the direction ratios of the line.
Then its equation is
`(x-5)/a=(y+6)/b=c/(-3)=lambda`
`rArra=-lambda,b=4lambda,c=-3lambda`
`rArr` Direction ratios of the line are
`lt-1,4,-3gt =lt1,-4,3 gt`