Question
Download Solution PDFआकृतीमध्ये, एका वर्तुळातील जीवा AB आणि CD बाहेर P बिंदूवर छेदतात. जर AB = 4 सेमी, CD = 11 सेमी आणि PD = 15 सेमी, तर PB ची लांबी काढा:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे:
AB आणि CD या वर्तुळाच्या दोन जीवा आहेत ज्या बाहेरून P या बिंदूवर छेदतात
AB = 4 सेमी, CD = 11 सेमी आणि PD = 15 सेमी
वापरलेले सूत्र :
जर AB आणि CD या दोन जीवा बाह्य बिंदू P वर छेदतात तर,
PA × PB = PC × PD
गणना:
PA ची लांबी 'x' मानू
PC = PD - CD
⇒ 15 - 11
⇒ PC = 4 सेमी
प्रश्नानुसार,
PA × PB = PC × PD
x × (x + 4) = 15 × 4
⇒ x = 6
PB = PA + AB
⇒ 6 + 4
⇒ 10
∴ PB ची लांबी 10 सेमी आहे.
Last updated on Jul 19, 2025
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