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 {\ABC} is (\alpha, \beta, \frac{6}{7}), then 98(\alpha+\beta)^2 is equal to _______. [12-Apr-2023 shift 1]

JEE Mains 12-Apr-2023 Shift 1 Solved Paper

Section: Mathematics

Question : 27 of 90

Marks: +1, -0

Let the plane x+3y−2z+6=0 meet the co-ordinate axes at the points A, B, C. If the orthocenter of the triangle ABC is (α,β,‌

), then 98(α+β)2 is equal to _______.

[12-Apr-2023 shift 1]

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