A Chord With a Distance Constraint

★ 7/10Polarization Identity Circles analytic geometry

Problem

The line $\ell$ meets the circle $O: x^2 + y^2 = 4$ at $P, Q$ . Let $A(2, 2)$ . If

AP^2 + AQ^2 = 40,

find the maximum length of the chord $PQ$ .

Answer

Solution

Difficulty	7/10
Topics	Polarization Identity, Circles, analytic geometry

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