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Ex 10.5, 3 - In figure, ∠PQR = 100°, where P, Q and R - Cyclic quadrilaterals

Ex 10.5, 3 - Chapter 10 Class 9 Circles - Part 2

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Transcript

Ex 9.3, 3 In the given figure, PQR = 100 , where P, Q and R are points on a circle with centre O. Find OPR. Here, PR is chord We mark point S on the major arc of the circle. PQRS is a cyclic quadrilateral. So, PQR + PSR = 180 100 + PSR = 180 PSR = 180 100 PSR = 80 Arc PQR subtends POR at centre of circle. And PSR on point S So, POR = 2 PSR POR = 2 (80 ) = 160 Now, In OPR OP = OR OPR = ORP Also, in OPR OPR + ORP + POR = 180 OPR + OPR + POR = 180 2 OPR + 160 = 180 2 OPR = 180 160 2 OPR = 20 OPR = (20 )/2 OPR = 10

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.