The eccentricity of the ellipse $25{x^2} + 16{y^2} = 100$, is

Eccentricity of the ellipse $9{x^2} + 25{y^2} = 225$ is

If the radius of the largest circle with centre $(2,0)$ inscribed in the ellipse $x^2+4 y^2=36$ is $r$, then $12 r^2$ is equal to

Let a line $L$ pass through the point of intersection of the lines $b x+10 y-8=0$ and $2 x-3 y=0$, $b \in R -\left\{\frac{4}{3}\right\}$. If the line $L$ also passes through the point $(1,1)$ and touches the circle $17\left( x ^{2}+ y ^{2}\right)=16$, then the eccentricity of the ellipse $\frac{x^{2}}{5}+\frac{y^{2}}{b^{2}}=1$ is.

The distance between the foci of the ellipse $3{x^2} + 4{y^2} = 48$ is

In an ellipse, the distance between its foci is $6$ and minor axis is $8$. Then its eccentricity is