A normal with slope 1 6 is drawn from the point (0, - ) to the parabola x^2 = -4ay, where a 0. Let L be the...

Question

A normal with slope 1 6 is drawn from the point (0, - ) to the parabola x^2 = -4ay, where a > 0. Let L be the line passing through (0, - ) and parallel to the directrix of the parabola. Suppose that L intersects the parabola at two points A and B. Let r denote the length of the latus rectum and s denote the square of the length of the line segment AB. If r : s = 1 : 16, then the value of 24a is _____.

Accepted Answer

12

JEE Advanced 2024 Mathematics question

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