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In the adjoining figure, PQR, is a right...

In the adjoining figure, PQR, is a right triangle, right angled at Q. X and Y are the points on PQ and QR such that `PX : XQ = 1:2` and `QY: YR = 2:1`. Prove that `9(PY^2 + XR^2) = 13PR^2`

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