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

In the figure, two chords AB and CD of the same circle are parallel to each other. P is the centre of the circle. show that ∠CPA = ∠DPB. - Geometry Mathematics 2

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प्रश्न

In the figure, two chords AB and CD of the same circle are parallel to each other. P is the centre of the circle. show that ∠CPA = ∠DPB.

बेरीज

उत्तर

CD || AB (Given)

⇒ CP = OP (Radius)

⇒ AP = PB (Radius)

⇒ ∴ ∠PCD = ∠PAB

⇒ PDC = ∠PBA

Hence, = ∠DPB 

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2013-2014 (October)

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