Question

An ellipse is drawn with major and minor axes of lengths $10$ and $8$ respectively. if its center is at origin find the equation of ellipse.

Answer 1

The length of major axis $2a=10a=5$

The length of minor axis $2b=8b=4$

The equation of ellipse with center at origin is $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\frac{x^2}{5^2}+\frac{y^2}{4^2}=1\frac{x^2}{25}+\frac{y^2}{16}=1$