An Apollonius Minimum

★ 7/10analytic geometry Apollonius Circle

Problem

In the coordinate plane $xOy$ , let $A(4,0)$ and $B(0,3)$ , and let $P$ be a moving point on the circle $x^2+y^2=4$ . Find the minimum value of

3AP+2BP.

Answer

Solution

Difficulty	7/10
Topics	analytic geometry, Apollonius Circle

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