নীচের বৃত্তে, জ্যা AB প্রসারিত হয়ে D বিন্দুতে DC স্পর্শকের সাথে মিলিত হয়েছে। AB = 12 সেমি এবং DC = 8 সেমি হলে, BD-এর দৈর্ঘ্য নির্ণয় করুন।

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RRB ALP Previous Paper 1 (Held On: 9 Aug 2018 Shift 1)
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  1. 4√6 সেমি
  2. 6 সেমি
  3. 4 সেমি
  4. 5 সেমি

Answer (Detailed Solution Below)

Option 3 : 4 সেমি
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Detailed Solution

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জ্যা স্পর্শক উপপাদ্য অনুসারে,

⇒ CD2 = AD x BD

⇒ 8 x 8 = (12 + BD) x BD

⇒ 12BD + BD2 = 64

⇒ BD2 + 16BD - 4BD - 64 = 0

⇒ BD(BD + 16) - 4(BD + 16) = 0

BD = 4 সেমি

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