If the length of the minor axis of ellipse is | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

$ 2 \mathrm{~b}=\mathrm{ae} $

$ \frac{\mathrm{b}}{\mathrm{a}}=\frac{\mathrm{e}}{2} $

$ \mathrm{e}=\sqrt{1-\frac{\mathrm{e}^2}{4}}$

$ \mathrm{

Vedclass · Accepted Answer

$\frac{2}{\sqrt{5}}$

Vedclass · Answer

$ 2 \mathrm{~b}=\mathrm{ae} $

$ \frac{\mathrm{b}}{\mathrm{a}}=\frac{\mathrm{e}}{2} $

$ \mathrm{e}=\sqrt{1-\frac{\mathrm{e}^2}{4}}$

$ \mathrm{e}=\frac{2}{\sqrt{5}}$

If the length of the minor axis of ellipse is equal to half of the distance between the foci, then the eccentricity of the ellipse is :

Similar Questions

Find the equation for the ellipse that satisfies the given conditions : Vertices $(\pm 5,\,0),$ foci $(\pm 4,\,0)$

If distance between the directrices be thrice the distance between the foci, then eccentricity of ellipse is

The equation of the ellipse whose centre is $(2, -3)$, one of the foci is $(3, -3)$ and the corresponding vertex is $(4, -3)$ is

The locus of the middle point of the intercept of the tangents drawn from an external point to the ellipse ${x^2} + 2{y^2} = 2$ between the co-ordinates axes, is

Find the equation for the ellipse that satisfies the given conditions: $b=3,\,\, c=4,$ centre at the origin; foci on the $x$ axis.