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In a non-right-angled triangle PQR, let p, q, r denote the lengths of the sides opposite to the angles at P, Q, R respectively.

In a non-right-angled triangle PQR, let p, q, r denote the lengths of the sides opposite to the angles at P, Q, R respectively. The median from R meets the side PQ at S, the perpendicular from P meets the side QR at E, and RS and PE intersect at O. If p = 3, q=1, and the radius of the circumcircle of the APQR equals 1, then which of the following options is/are correct? A. length of OE = C. Length of RS = 1 6 7 2 B. D. Radius of incircle of APQR = 3 12 -3(2-3) Are of ASOE =

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