Let p be the number of all triangles that can be formed by joinin… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 7 April, Shift 2Applications of P&C

Let $p$ be the number of all triangles that can be formed by joining the vertices of a regular polygon $P$ of $n$ sides, and $q$ be the number of all quadrilaterals that can be formed by joining the vertices of $P$ . If $p + q = 126$ , then the eccentricity of the ellipse $\frac{x^2}{16} + \frac{y^2}{n} = 1$ is:

A
$\frac{3}{4}$
B
$\frac{1}{2}$
C
$\frac{\sqrt{7}}{4}$
D
$\frac{1}{\sqrt{2}}$

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