A Y-Range from a Dot Product

★ 6/10Substitution Circles conic sections vectors

Problem

Let $M(x_0,y_0)$ be a point on the hyperbola $C:\dfrac{x^2}2-y^2=1$ , with foci $F_1$ , $F_2$ . If $\overrightarrow{MF_1}\cdot\overrightarrow{MF_2}<0$ , find the range of $y_0$ .

Answer

Solution

Difficulty	6/10
Topics	Substitution, Circles, conic sections, vectors

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