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Mathematics · 2025

JEE Main · 2 April 2025, Shift 2 · Q24

Let A (4,-2), B (1,1) and C (9,-3) be the vertices of a triangle ABC. Then the maximum area of the parallelogram AFDE, formed with vertices D, E and…

Let $\displaystyle \mathrm{A}(4,-2), \mathrm{B}(1,1)$ and $\displaystyle \mathrm{C}(9,-3)$ be the vertices of a triangle ABC . Then the maximum area of the parallelogram AFDE, formed with vertices D, E and F on the sides BC, CA and $\displaystyle A B$ of the triangle $\displaystyle A B C$ respectively, is $\displaystyle \_\_\_\_$.
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.