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Ellipse question

2025 · 7 Apr · Shift 2 · Q42

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JEE Main
Mathematics
Ellipse
2025 · 7 Apr · Shift 2 · Q42

Ellipse question

2025 · 7 Apr · Shift 2 · Q42

JEE MainMathematicsEllipseMCQ+4 / −1

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

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