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  4. All the rays emanating from origin becomes parallel to y-axis after being reflected from the surface of a mirror, then equation of such a mirror may be

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Q. All the rays emanating from origin becomes parallel to $y$-axis after being reflected from the surface of a mirror, then equation of such a mirror may be

Conic Sections

Solution:

Clearly origin should be focus and y-axis should be axis of parabola for reflected rays to the parallel to y-axis.

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