Mathematics · 2021
JEE Main · 16 March 2021, Shift 2 · Q73
Consider a rectangle ABCD having 5, 7, 6, 9 points in the interior of the line segments AB, CD, BC, DA respectively. Let α be the number of triangles…
Consider a rectangle ABCD having $\displaystyle 5$, $\displaystyle 7$, $\displaystyle 6$, $\displaystyle 9$ points in the interior of the line segments $\displaystyle \mathrm{AB}, \mathrm{CD}, \mathrm{BC}, \mathrm{DA}$ respectively. Let $\displaystyle \alpha$ be the number of triangles having these points from different sides as vertices and $\displaystyle \beta$ be the number of quadrilaterals having these points from different sides as vertices. Then $\displaystyle (\beta-\alpha)$ is equal to :
Official answer
(3)
$\displaystyle 717$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.