# Elliptical Distances

Geometry Level 2

Consider the point $$P(-1, 0)$$ on the ellipse given by the equation $$4x^2 + y^2 = 4$$. There are two points $$(a, b)$$ and $$(a, c)$$ on the ellipse whose distance from $$P$$ is a maximum. What is the value of $$a$$?

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