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A light ray gets reflected by y-axis. If...

A light ray gets reflected by y-axis. If the point of incidence is (0,-2) and reflected ray touches the circle `x^(2) + y^(2) - 2x -2y +1=0`, then the equationof incident ray is

A

`4x - 3y - 6=0`

B

`4x + 3y + 6=0`

C

`x-y -2=0`

D

`x+y+2=0`

Text Solution

Verified by Experts

The correct Answer is:
B
Let m be the slope of the reflected ray `rArr` equation of reflected ray is y+2 = mx
mx - y-2=0 touches given circle
`rArr (|m-1-2|)/sqrt(m^(2) +1) =1`
`rArr m=4/3`
`rArr` slope of the incident ray is `-4/3`
`rArr` equation of incident ray is `y+2 = (-4/3)x rArr 4x + 3y + 6=0`
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