Question
Download Solution PDFआकृति में, O वृत्त का केंद्र है। इसकी दो जीवाएँ AB और CD एक दूसरे को वृत्त के भीतर बिंदु P पर प्रतिच्छेद करती हैं। यदि AB = 20 सेमी, PB = 12 सेमी और CP = 8 सेमी है, तो PD की माप ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
AB = 20 सेमी, PB = 12 सेमी और CP = 8 सेमी
प्रयुक्त अवधारणा:
यदि दो जीवाएँ एक वृत्त के अंदर प्रतिच्छेद करती हैं, तो जीवाओं के खंडों के मापों का गुणनफल बराबर होता है।
AE × EC = DE × EB
गणना:
अवधारणा के अनुसार,
AP × PB = CP × PD
⇒ (AB - PB) × 12 = 8 × PD
⇒ (20 - 12) × 12 = 8 × PD
⇒ 8× 12 = 8 × PD
⇒ PD = 12
∴ PD का माप 12 सेमी है।
Last updated on Jul 12, 2025
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