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Can....... someone.... please …solve this..............attachment.........
Let point on parabola be P(at^2, 2at) and S(a, 0) also SPM is equilateral triangle M is foot of perpendicular from point on parabola to directrix ∴ M is (– a, 2at) Now SPM is equilateral triangleSP = PM = SM SM^2 = PM^2(a+a)^2 + (-2at)^2 = (at^2+a)^2 t^4 -2t^2 -3 = 0 t = sqrt(3)SP = 4a, Hope this will help Good Luck
SP = PM = SM SM^2 = PM^2(a+a)^2 + (-2at)^2 = (at^2+a)^2 t^4 -2t^2 -3 = 0 t = sqrt(3)SP = 4a, Hence option C is correct
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