The equation of the ellipse whose latus rectum is $8$ and whose eccentricity is $\frac{1}{{\sqrt 2 }}$, referred to the principal axes of coordinates, is
The equation of the ellipse whose latus rectum is $8$ and whose eccentricity is $\frac{1}{{\sqrt 2 }}$, referred to the principal axes of coordinates, is
- A
$\frac{{{x^2}}}{{18}} + \frac{{{y^2}}}{{32}} = 1$
- B
$\frac{{{x^2}}}{8} + \frac{{{y^2}}}{9} = 1$
- C
$\frac{{{x^2}}}{{64}} + \frac{{{y^2}}}{{32}} = 1$
- D
$\frac{{{x^2}}}{{16}} + \frac{{{y^2}}}{{24}} = 1$
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- [KVPY 2020]