ত্রিভুজ ABC-তে, BAC কোণের দ্বিখণ্ডকটি BC বাহুর উপর D বিন্দুতে ছেদ করে। যদি AB = 10 সেমি এবং AC = 14 সেমি হয়, তাহলে BD ∶ DC কত নির্ণয় করুন।

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SSC CGL 2022 Tier-I Official Paper (Held On : 03 Dec 2022 Shift 1)
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  1. 10  7
  2. 7
  3. 5
  4. 10

Answer (Detailed Solution Below)

Option 2 : 5  7
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PYST 1: SSC CGL - General Awareness (Held On : 20 April 2022 Shift 2)
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Detailed Solution

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প্রদত্ত:

AB = 10 সেমি, এবং AC = 14 সেমি

অনুসৃত ধারণা:

একটি ত্রিভুজের কোণ দ্বিখণ্ডক বিপরীত বাহুকে ত্রিভুজের অন্য দুটি বাহুর সমানুপাতিক দুটি অংশে বিভক্ত করে।

গণনা:

 

ধারণা অনুসারে,

AB/AC = BD/DC

⇒ 10/14 = BD/DC

⇒ 5/7 = BD/DC

সুতরাং, BD : DC = 5 : 7

∴ নির্ণেয় উত্তর 5 : 7 

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