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JEE 2023 — Mathematics PYQ

JEE | Mathematics | 2023

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 ________.

JEE 2023 — Mathematics PYQ

Choose the correct answer:

Explanation

Solution

1. Side Lengths nikalna

2. Minimum Perimeter ( $\beta$ ) nikalna

3. Maximum Perimeter ( $\alpha$ ) nikalna

4. Final Value Calculate karna