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If P(2,-7) is a given point and Q is a p...

If P(2,-7) is a given point and Q is a point on `(2x^(2)+9y^(2)=18)`, then find the equations of the locus of the mid-point of PQ.

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The correct Answer is:
`8x^(2)+36y^(2)-16x+252y+431=0`
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