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What is the equation of parabola if focus (0, -a) and directrix y = a?

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Square of x = -4*a*y.
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Its square of x = - 4 ay. From the given data, square of x + square of (y+a) i.e., distance of any point on parabola from focus = distance of pt. from directrix i.e. square of (y-a). On solving it, you get the given result.
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