Engineering
Mathematics
Standard Parabola
Highlights on Parabola
Question

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

x2 = 4a(y + a)

x2 = – 4a(y + a)

x2 = 4a(y – a)

x2 = –4a(y – a)

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Solution

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