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A ray of light comes along the line L = ...

A ray of 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`.
If `L_(1) =0 ` is the reflected ray, then its equation is

A

`(x+10)/(4)= (y-5)/(4)= (z+2)/(3)`

B

`(x+10)/(3)= (y+15)/(5)= (z+14)/(5)`

C

`(x+10)/(4)= (y+15)/(5)=(z+14)/(3)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
c
The equation of the reflected ray `L_(1)=0` is the line joining `Q(x_(2), y_(2), z_(2)) and B(-10, -15, -14)`.
`" "(x+10)/(16)= (y+15)/(20) = (z+14)/(12)`
or `(x+10)/(4)= (y+15)/(5)= (z+14)/(3)`
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