Mathematics - Hyperbola Question with Solution | TestHub

If$e_1$and$e_2$are the eccentricities of the ellipse$\frac{x^2}{18}+\frac{y^2}{4}=1$and the hyperbola$\frac{x^2}{9}-\frac{y^2}{4}=1$respectively and$\left(e_1,e_2\right)$is a point on the ellipse$15x^2+3y^2=k$, then the value of$k$is equal to