# Ellipse eccentricity?

Geometry Level 4

If the line $2px+y\sqrt{1-p^{2}}=1$ always touches the ellipse $\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1$ $\forall \ p \in (-1,1) - \{0\}$, find the eccentricity of this ellipse.

×

Problem Loading...

Note Loading...

Set Loading...