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5. An ellipse has focus S (V5, 0) and equation - + = 1 The variable point T(3cos t, 2sin t) is joined to S.

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5. An ellipse has focus S (V5, 0) and equation - + = 1 The variable point T(3cos t, 2sin t) is joined to S. The line ST is extended to the point P and ST SP Find the locus of P as t varies, giving your answer in Cartesian form, and describe the curve. (8) (You may find the following sketch helpful when answering this question) P(x, y) T(3cost, 2sint) O s(V5, 0)

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