Fred the snail is crawling in an annulus whose inner radius is a and whose outer radius is b. P and Q are points on the inner circle and the outer circle that move such that P, Q and the origin are always collinear. Fred crawls so that his x coordinate is the same as Q's and his y coordinate is the same as P's. a Find the coordinates (x, y) of P and Q in terms of 0, b and a. Eliminate 0 to find the Cartesian equation of Fred's path.

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