Question

# A ray of light is coming along the line which is parallel to y-axis and strikes a concave mirror whose intersection with the XY-plane is a parabola (xâˆ’4)2=4(y+1). After reflection, the ray must pass through the point?

A
(4,1)
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B
(0,1)
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C
(4,1)
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D
None of these
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Solution

## The correct option is C (4,−1)The equation of axis of the parabola is x−4=0 which is parallel to y-axis. So, the ray of light is parallel to the axis of the parabola.We know that nay ray parallel to the axis of a parabola passes through the focus after reflection.∴ The ray through the point (4,−1)

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