NVAMediumJEE Main 2024 · 29 January, Shift 2Conic Sections (Parabola, Ellipse, Hyperbola)

Mathematics Question from JEE Main 2024 · 29 January, Shift 2

Let P(α,β)P(\alpha, \beta) be a point on the parabola y2=4xy^2 = 4x. If PP also lies on the chord of the parabola x2=8yx^2 = 8y whose midpoint is (1,54)(1, \frac{5}{4}), then (α28)(β8)(\alpha - 28)(\beta - 8) is equal to:

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