A ray of light comes along the line and strikes the plane mirror kept along the plane at

MATHEMATICS · Single correct · ISC · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

A ray of light comes along the line l=0l=0 and strikes the plane mirror kept along the plane p=0p=0 at BB. A(2,1,6)A(2,1,6) is a point on the line l=0l=0 whose image about p=0p=0 is A′A'. It is given that l=0l=0 is x−23=y−14=z−65\frac{x-2}{3}=\frac{y-1}{4}=\frac{z-6}{5} and p=0p=0 is x+y−2z=3x+y-2z=3. The coordinates of BB are (1) (5,10,6)(5,10,6) (2) (10,15,11)(10,15,11) (3) (−10,−15,−14)(-10,-15,-14) (4) None of these

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