A Point from a Focal Vector Relation

★ 7/10Substitution conic sections vectors

Problem

Let $F_1$ and $F_2$ be the left and right foci of the ellipse $\dfrac{x^2}3+y^2=1$ . Points $A$ and $B$ lie on the ellipse with $\overrightarrow{F_1A}=5\overrightarrow{F_2B}$ . Find the coordinates of $A$ .

Answer

Solution

Difficulty	7/10
Topics	Substitution, conic sections, vectors

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