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A ray of light is sent through the point...

A ray of light is sent through the point P(1,2,3) and is reflected on the XY plane. If the reflected ray passes through the point Q(3,2,5) then the equation of the reflected ray is

A

`(x-3)/1=(y-2)/0=(z-5)/1`

B

`(x-3)/1=(y-2)/0=(z-5)/-4`

C

`(x-3)/1=(y-2)/0=(z-5)/4`

D

`(x-1)/1=(y-2)/0=(z-3)/4`

Text Solution

Verified by Experts

The correct Answer is:
C
Here P and Q lie on the same side of XY plane. Image P(1,2,3) on the XY plane is `P^(')(1,2,-3)`.
Reflected ray is `P^(')Q: (x-3)/(3-1)= (y-2)/(2-2) = (z-5)/(5-(-3))`
`rArr (x-3)/1=(y-2)/0=(z-5)/4`
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