In an isosceles triangle A B C, the vertex A is (6,1) and the equation of the base B C is 2 x+y=4. Let the point B lie on the line x+ 3 {\y}=7. If (\alpha, \beta) is the centroid of \triangle {\ABC}, then 15(\alpha+\beta) is equal to: [27-Jun-2022-Shift-1]

Straight Lines and Pair of Straight Lines Part 1

Section: Mathematics

Question : 3 of 100

Marks: +1, -0

In an isosceles triangle ABC, the vertex A is (6,1) and the equation of the base BC is 2x+y=4. Let the point B lie on the line x+ 3y=7. If (α,β) is the centroid of △ABC, then 15(α+β) is equal to:

[27-Jun-2022-Shift-1]

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