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P is any point on the ellipse whose parametric equations are x=3cos dheta, y= 2sin dheta. The line joining the origin O to P is produced to Q where...

      P is any point on the ellipse whose parametric equations are x=3cos dheta, y= 2sin dheta. The line joining the origin O to P is produced to Q  where  OQ=2OP.Find the cartesian equation of the locus of Q. 

                                  Please show a detailed working.Thank you.

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