1.

A ray of light comes light comes along the line L = 0 and strikes the plane mirror kept along the plane P = 0 at B. A(2, 1, 6)is a point on the line L = 0 whose image about P = 0 is A'. It is given that L = 0 is (x-2)/(3)= (y-1)/(4)= (z-6)/(5) and P =0is x+y-2z=3. The coordinates of B are

Answer»

`(5, 10, 6)`
`(10, 15, 11)`
`(-10, -15, -14)`
none of these

Solution :Let `(x-2)/(3)=(y-1)/(4)= (z-6)/(5)=lamda`
`""x=2+ 3lamda, y=1 + 4 lamda, z=6+ 5lamda` LIES on PLANE
`""x+y-2z=3`
`rArr""2+3lamda +1 +4lamda- 2 (6+5lamda)=3`
or `"" 3+7lamda-12-10lamda=3 or -3lamda=12 or lamda= -4`
Point `B-= (-10, -15, -14)`


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