NVAMediumJEE Main 2023 · 6 April, Shift 1Conic Sections (Parabola, Ellipse, Hyperbola)

Mathematics Question from JEE Main 2023 · 6 April, Shift 1

Let the tangents to the curve x2+2x4y+9=0x^2 + 2x - 4y + 9 = 0 at the point P(1,3)P(1, 3) on it meet the yy-axis at AA. Let the line passing through PP and parallel to the line x3y=6x - 3y = 6 meet the parabola y2=4xy^2 = 4x at BB. If BB lies on the line 2x3y=82x - 3y = 8, then (AB)2(AB)^2 is equal to:

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