Question

The equation of ellipse with major and minor axis is $10,8$ is

• A. $\frac{x^2}{25}+\frac{y^2}{16}=1$
• B. $\frac{3x^2}{64}+\frac{3y^2}{16}=1$
• C. $\frac{x^2}{100}+\frac{y^2}{64}=1$
• D. $\frac{x^2}{8}+\frac{y^2}{10}=1$

Answer 1

The correct option is A $\frac{x^2}{25}+\frac{y^2}{16}=1$

The length of major axis $2a=10$

$\Rightarrow a=5$

The length of minor axis $2b=8$

$\Rightarrow b=4$

The equation of ellipse is $\frac{x^2}{5^2}+\frac{y^2}{4^2}=1$

$\Rightarrow \frac{x^2}{25}+\frac{y^2}{16}=1$