Mathematics

Mathematics

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 a. (5,10,6)(5, 10, 6) b. (10,15,11)(10, 15, 11) c. (−10,−15,−14)(-10, -15, -14) d. None of these

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