In the ellipse, $ \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 $… – Class 12 Mathematics 2080 Solved

Class 12 Mathematics · 2080 · Solved Question with Answer

In the ellipse,$ \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 $ has foci $ (\pm c, 0) $ When will the ellipse become a circle?

A)$ \sqrt{a^2 + b^2} = 0 $

B)$ \sqrt{b^2 - a^2} = 0 $

C)$ \sqrt{a^2 - b^2} = 0 $

D) $c = a = b$

Solution

In the ellipse, \( \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 \) has foci \( (\pm c, 0) \) When will the ellipse become a circle? A) \( \sqrt{a^2 + b^2} =…