Let P be the image of the point (3,1,7) with respect to the plane x-y+z=3 . Then the equation of the plane passing through P and containing the straight line x1=y2=z1is
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a
x+y−3z=0
b
3x+z=0
c
x−4y+7z=0
d
2x−y=0
answer is C.
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Detailed Solution
Let P(h,k,l) be image of (3,1,7) in x-y+z=3⇒h−31=k−1−1=l−71=−263=−4 h, k, l=−1,5,3 P(-1,5,3) now plane passing through P and containing the linex1=y2=z1 isx+1y−5z−31−5−3121=0⇒x−4y+7z=0