A Focal Chord Ratio Slope

Problem

The line $y=k(x+2)$ ( $k>0$ ) meets the parabola $C:y^2=8x$ at two points $A$ and $B$ , and $F$ is the focus of $C$ . If $FA=2FB$ , find $k$ .

Answer

Solution

Difficulty	6/10
Topics	conic sections, Vieta's Formulas

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