Jee Main
Application Of Derivatives
JEE Main 2023 (Online) 15th April Morning Shift
INTEGER+4 / -12023
Consider the triangles with vertices $A(2,1), B(0,0)$ and $C(t, 4), t \in[0,4]$.
If the maximum and the minimum perimeters of such triangles are obtained at
$t=\alpha$ and $t=\beta$ respectively, then $6 \alpha+21 \beta$ is equal to ___________.
If the maximum and the minimum perimeters of such triangles are obtained at
$t=\alpha$ and $t=\beta$ respectively, then $6 \alpha+21 \beta$ is equal to ___________.