Mathematics · 2022
JEE Main · 27 June 2022, Shift 1 · Q12
In an isosceles triangle ABC, the vertex A is (6,1) and the equation of the base BC is 2 x+y=4. Let the point B lie on the line x+3 y=7. If (α, β) is…
In an isosceles triangle ABC, the vertex A is $\displaystyle (6,1)$ and the equation of the base BC is $\displaystyle 2 x+y=4$. Let the point B lie on the line $\displaystyle x+3 y=7$. If $\displaystyle (\alpha, \beta)$ is the centroid of $\displaystyle \Delta \mathrm{ABC}$, then $\displaystyle 15(\alpha+\beta)$ is equal to :
Official answer
(3)
$\displaystyle 51$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.