Question

A parabola has vertex $(2, 3)$, equation of directrix is $2x – y = 1$ and equation of ellipse is $\frac {x^2}{a^2} +\frac {y^2}{b^2} =1$, $e=\frac {1}{\sqrt 2}$ and ellipse passing through focur of parabola then square of length of latus rectum of ellipse is

• A. $\frac {6564}{25}$
• B. $\frac {3288}{25}$
• C. $\frac {6272}{25}$
• D. $\frac {4352}{25}$

Answer 1

Answer: (D)

$\frac {4352}{25}$

Answer 2

The correct option is (D): $\frac {4352}{25}$.