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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

In the Given Figure, a Tangent Segment Pa Touching a Circle in a and Secant Pbc Are Shown, If Ap = 15 Cm Bp = 10 Cm, Find the Length of Pc. - Geometry Mathematics 2

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प्रश्न

In the given figure, a tangent segment PA touching a circle in A and secant PBC are shown, If AP = 15 cm BP = 10 cm, find the length of PC.

बेरीज

उत्तर

Given:

AP = 15 cm

BP = 10 cm

To find: PC

Using the tangent secant theorem

PA2 = PC × PB

 152 = PC × 10

 225 = PC × 10

 PC = `225/10`

 PC = 22.5 cm

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2016-2017 (July)

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