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Mathematics · 2024

JEE Main · 30 January 2024, Shift 1 · Q7

The maximum area of a triangle whose one vertex is at (0,0) and the other two vertices lie on the curve y=-2 x^2+54 at points (x, y) and (-x, y),…

The maximum area of a triangle whose one vertex is at $\displaystyle (0,0)$ and the other two vertices lie on the curve $\displaystyle y=-2 x^2+54$ at points $\displaystyle (x, y)$ and $\displaystyle (-x, y)$, where $\displaystyle y>0$, is :
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.