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A ray of light comes light comes along t...

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 =0 ` is `x+y-2z=3`.
The coordinates of `A'` are

A

`(6, 5, 2)`

B

`(6, 5, -2)`

C

`(6, -5, 2)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
b
Let `Q(x_(2), y_(2), z_(2))` be the image of `A(2, 1, 6)` about mirror `x +y -2z =3`. Then,
`" "(x_(2)-2)/(1)= (y_(2)-1)/(1)= (z_(2)-6)/(-2)`
`" "=(-2(2+1-12-3))/(1^(2)+1^(2)+2^(2))=4`
`rArr " "(x_(2), y_(2), z_(2))-= (6, 5, -2)`.
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