Question

The distance between the foci of the ellipse x=5cos$\theta$, y=4sin$\theta$ is

• A. 8
• B. 10
• C. 7
• D. 6

Answer 1

The correct option is D

6

X = 5cos$\theta$, Y = 4sin$\theta$

$\frac{x^2}{25}+\frac{y^2}{16}$ = 1, e = $\frac{3}{5}$

$S{S}^1$ = 2ae = 2x5x$\frac{3}{5}$ = 6