Let two vertices of a triangle {\ABC} be (2,4,6) and (0,-2,-5), and its centroid be (2,1,-1). If the image of the third vertex in the plane x+2 y+4 z=11 is (\alpha, \beta, \gamma), then \alpha \beta+\beta \gamma+\gamma \alpha is equal to : [10-Apr-2023 shift 1]

JEE Mains 10-Apr-2023 Shift 1 Solved Paper

Section: Mathematics

Question : 5 of 90

Marks: +1, -0

Let two vertices of a triangle ABC be (2,4,6) and (0,−2,−5), and its centroid be (2,1,−1). If the image of the third vertex in the plane x+2y+4z=11 is (α,β,γ), then αβ+βγ+γα is equal to :

[10-Apr-2023 shift 1]

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