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JEE Math Practice Question

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 :

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

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