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A quadrilateral PQRS is drawn to circumscribe a circle. If PQ = 12 cm, QR = 15 cm and RS = 14 cm, then find the length of SP is

(a) 15 cm                          (b) 14 cm

(c) 12 cm                          (d) 11 cm

This question is similar to Ex 10.2, 8 - Chapter 10 Class 10 Circles

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Transcript

From Ex 10.2, 8 – Chapter 10 Class 10 In a quadrilateral circumscribing the circle, Sum of opposite sides is equal Thus, in quadrilateral PQRS PQ + SR = PS + QR 12 + 14 = PS + 15 26 − 15 = PS 11 = PS PS = 11 Hence, PS = 11 cm So, the correct answer is (d)

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Davneet Singh

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.