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Prove that focal distance of a point P(at^2, 2at) on parabola y^2 = 4ax (a > 0) is a(1 + t^2).

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Prove that focal distance of a point P(at2, 2at) on parabola y2 = 4ax (a > 0) is a(1 + t2).

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∵ PS = PM 

= a + at2 

PS = a (1 + t2).

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