Mathematics · 2023
JEE Main · 15 April 2023, Shift 1 · Q25
Consider the triangles with vertices A(2,1), B(0,0) and C(t, 4), t ∈[0,4]. If the maximum and the minimum perimeters of such triangles are obtained…
Consider the triangles with vertices $\displaystyle A(2,1), B(0,0)$ and $\displaystyle C(t, 4), t \in[0,4]$. If the maximum and the minimum perimeters of such triangles are obtained at $\displaystyle t=\alpha$ and $\displaystyle t=\beta$ respectively, then $\displaystyle 6 \alpha+21 \beta$ is equal to $\displaystyle \_\_\_\_$.
Official answer
From NTA’s final answer key for this paper.
48
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.