Question
Download Solution PDFচিত্রে, একটি বৃত্তের জ্যা AB এবং CD বাহ্যিকভাবে P এ ছেদ করে। যদি AB = 4 সেমি, CD = 11 সেমি এবং PD = 15 সেমি হয়, তাহলে PB এর দৈর্ঘ্য কত?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFপ্রদত্ত:
AB এবং CD একটি বৃত্তের দুটি জ্যা বাহ্যিকভাবে P এ ছেদ করে
AB = 4 সেমি, CD = 11 সেমি এবং PD = 15 সেমি
অনুসৃত সূত্র:
যদি দুটি জ্যা AB এবং CD বাইরের বিন্দু P এ ছেদ করে তাহলে,
PA × PB = PC × PD
গণনা:
ধরা যাক, PA এর দৈর্ঘ্য 'x'
PC = PD - CD
⇒ 15 - 11
⇒ PC = 4 সেমি
প্রশ্ন অনুযায়ী
PA × PB = PC × PD
x × (x + 4) = 4 × 15
⇒ x = 6
PB = PA + AB
⇒ 6 + 4
⇒ 10
∴ PB এর দৈর্ঘ্য 10 সেমি
Last updated on Jun 13, 2025
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