Question

Consider the ellipse $\frac{x^2}{ta{n}^2\alpha }+\frac{y^2}{se{c}^2\alpha }=1\alpha ϵ(0,\frac{\pi }{2})$ which of the following quantities would vary as $\alpha$ varies?

• A. Eccentricity
• B. Ordinate of the vertex
• C. Ordinates of the foci
• D. Length of the latus rectum

Answer 1

Answer: (A), (B), (C), (D)

The correct options are
A Eccentricity
B

Ordinate of the vertex

C Ordinates of the foci
D Length of the latus rectum

$a^2=b^2(1-e^2)$
$\left(se{c}^2\alpha \right)e^2=1$
$e=cos\alpha$
$l=\frac{2a^2}{b}$