NVAMediumJEE Main 2023 · 12 April, Shift 1Equation of Plane

Mathematics Question from JEE Main 2023 · 12 April, Shift 1

Let the plane x+3y2z+6=0x + 3y - 2z + 6 = 0 meet the co-ordinate axes at the points A, B, C. If the orthocentre of the triangle ABC is (α,β,67)\left(\alpha, \beta, \frac{6}{7}\right), then 98(α+β)298(\alpha + \beta)^2 is equal to:

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