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Maths Conic Sections Parabola Numeric Response
Published on: August 14, 2026

If M is foot of perpendicular from point P on a parabola to its directrix & SPM is an equilateral triangle where S is focus then SP is equal to λ a. Where λ equals

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The correct answer is:
4

Ans. 4

Sol.

SP = PM = SZ as Δ is equilateral

Now SZ = 2a

In Δ SMZ

sin30° =

M = 4a = SP

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