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The chord PR and QS intersect each other at E at 90°. X is the midpoint of QR. Then prove that EY is perpendicular to PS. Refer to the attachment
Given, Q is the mid-point of PR. ⇒ PQ = QR ... (1) Again, R is the mid-point of QS. ⇒ QR = RS ... (2) Now, PS = PQ + QR + RS ⇒ PS = 3 QR [using (1) and (2)] ⇒ QR = 1/3 PS On putting value of QR in (1), we get PQ = 1/3 PS
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