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NVAMediumJEE Main 2025 · 22 January, Shift 2Conic Sections (Parabola, Ellipse, Hyperbola)

Mathematics Question from JEE Main 2025 · 22 January, Shift 2

Let A(6,8)A(6,8), B(10cos⁡α,−10sin⁡α)B(10\cos\alpha, -10\sin\alpha), and C(−10sin⁡α,10cos⁡α)C(-10\sin\alpha, 10\cos\alpha) be the vertices of a triangle. If L(a,9)L(a,9) and G(h,k)G(h,k) be its orthocenter and centroid respectively, then 5a−3h+6k+100sin⁡2α5a - 3h + 6k + 100\sin2\alpha is equal to _____.

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