Question

Calculate the value of $j+n$, if the length of the major axis of an ellipse with the equation $5x^2+24y^2=40$ is $j$ and the length of the minor axis of the ellipse is $n$.

• A. $2.58$
• B. $5.66$
• C. $6.95$
• D. $8.24$
• E. $9.78$

Answer 1

The correct option is D $8.24$

Given, $5x^2+24y^2=40$
$\Rightarrow \frac{x^2}{8}+\frac{y^2}{5/3}=1$
The length of major axis is $2\times \sqrt{8}=5.657=j$
The length of minor axis is $2\times \sqrt{\frac{5}{3}}=2.582=n$
$\therefore j+n=5.657+2.582=8.24$