Ellipse

By using the properties, the sum of focal distance of any points on the ellipse is equal to the major axis. \frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{a}^{2}}(1-{{e}^{2}})}=1 \)

Given, eccentricity of an ellipse

..(i) and length of latuserectum


.. (ii) In an ellipse, we know that

[using Eqs. (i) and (ii)]



Then, from E (ii), we get

Hence, sum of major and minor axes