A Tangent from a Focal Point

★ 7/10Tangent Circle Circles conic sections analytic geometry

Problem

Let $F$ be the right focus of the ellipse $\dfrac{x^2}{5} + y^2 = 1$ , and let $M$ be the point of the ellipse in the first quadrant with $MF$ perpendicular to the $x$ -axis. The line $MN$ is tangent to the circle $x^2 + y^2 = 1$ at a point $N$ in the fourth quadrant. Find the length $NF$ .

Answer

Solution

Difficulty	7/10
Topics	Tangent Circle, Circles, conic sections, analytic geometry

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