Solved: The figure shows a fixed circle with equation and a shrinking circle with radius

Chapter 2, Problem 2.3.62

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The figure shows a fixed circle with equation and a shrinking circle with radius and center the origin. P is the point , Q is the upper point of intersection of the two circles, and R is the point of intersection of the line PQ and the -axis. What happens to R as shrinks, that is, as ? x y 0 P Q C C R r l 0! C2 x !0, r" !x " 1" C2 r 2 ! y 2 ! 1

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