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3d Geometry

JEE Main 2023 (Online) 12th April Morning Shift

INTEGER+4 / -12023

Let the plane \(x+3 y-2 z+6=0\) meet the co-ordinate axes at the points A, B, C. If the orthocenter of the triangle \(\mathrm{ABC}\) is \(\left(\alpha, \beta, \frac{6}{7}\right)\), then \(98(\alpha+\beta)^{2}\) is equal to ___________.

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