त्रिकोण ABC मध्ये, BAC चा दुभाजक बाजू BC ला D वर कट करतो. जर AB = 10 सेमी, आणि AC = 14 सेमी, तर BD ∶ DC किती आहे?

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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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दिलेल्याप्रमाणे:

AB = 10 सेमी, आणि AC = 14 सेमी

वापरलेली संकल्पना:

त्रिकोणाचा कोन दुभाजक विरुद्ध बाजूस त्रिकोणाच्या इतर दोन बाजूंच्या प्रमाणात दोन भागांमध्ये विभाजित करतो.

गणना:

 

F1 SSC Amit A 24-02-2023 D2

संकल्पनेनुसार,

AB/AC = BD/DC

⇒ 10/14 = BD/DC

⇒ 5/7 = BD/DC

तर, BD : DC = 5 : 7

∴ आवश्यक उत्तर 5 : 7 आहे.

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