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Theorem 10.1: Tangent perpendicular to radius (numerical type)
Theorem 10.1: Tangent perpendicular to radius (numerical type)
Last updated at May 29, 2023 by Teachoo
Ex 10.2,2 Choose the correct option and give justification. In figure, if TP and TQ are the two tangents to a circle with centre O so that POQ = 110 , then PTQ is equal to 60 (B) 70 (C) 80 (D) 90 Given POQ = 110 Here TP is a tangent. So, OP TP Hence, OPT = 90 Similarly , TQ is a tangent. So, OQ TQ Hence, OQT = 90 Now, In quadrilateral TPOQ PTO + OQT + PTQ + POQ = 360 Putting values 90 + 90 + PTQ + 110 = 360 90 + 90 + 110 + PTQ = 360 290 + PTQ = 360 PTQ = 360 290 PTQ = 70 Hence, PTQ = 70 Thus, Option (B) is correct