Ellipse and Hyperbola Same Foci (Jee Mains)

Hyperbola

Medium

Ellipse and Hyperbola Same Foci

Let the ellipse $E\,:\frac{{{x^2}}}{{144}} + \frac{{{y^2}}}{{169}} = 1$ and the hyperbola
H : $\frac{{{x^2}}}{{16}} - \frac{{{y^2}}}{{{\lambda ^2}}} = - 1$ have the same foci. If e and L respectively denote the eccentricity and the length of the latus rectum of H, then the value of 24(e + L) is :

SELECT ONE OPTION

Ask about this question