Question

The length of the semi-major and the length of the semi-minor axis of the ellipse $\frac{x^2}{144}+\frac{y^2}{169}=1$ are:

• A. $26,12$
• B. $13,24$
• C. $12,26$
• D. $13,12$

Answer 1

The correct option is D $13,12$

Given ellipse can be written as,

$\frac{x^2}{{12}^2}+\frac{y^2}{{13}^2}=1$

Comparing with standard equation of ellipse, we get

$a=12$ and $b=13$

Clearly $b>a$, so major axis of the above ellipse is along y-axis

Hence length of semi-major and semi-minor axes are $b=13$ and $a=12$ respectively