Mathematics

Mathematics

Problem

Let PP and QQ be two distinct points on a circle which has center at C(2,3)C(2, 3) and which passes through origin OO. If OCOC is perpendicular to both the line segments CPCP and CQCQ, then the set {P,Q}\{P, Q\} is equal to (a) {(−1,5),(5,1)}\{(-1, 5), (5, 1)\} (b) {(2+22,3−5),(2−22,3+5)}\{(2+2\sqrt{2}, 3-\sqrt{5}), (2-2\sqrt{2}, 3+\sqrt{5})\} (c) {(2+22,3+5),(2−22,3−5)}\{(2+2\sqrt{2}, 3+\sqrt{5}), (2-2\sqrt{2}, 3-\sqrt{5})\} (d) {(4,0),(0,6)}\{(4, 0), (0, 6)\}

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