ABC एक समबाहु त्रिभुज है और AD, BC पर शीर्षलंब है। यदि A के निर्देशांक (1,2) हैं और D के निर्देशांक (2,6) हैं, तो BC का समीकरण क्या है?

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NDA-I (Mathematics) Official Paper (Held On: 13 Apr, 2025)
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  1. 3x+4y18=0
  2. 4x+3y1=0
  3. 4x3y+26=0

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Option 4 :
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गणना:

दिए गए शीर्ष A(1, 2) और D(−2, 6), जहाँ AD एक समबाहु त्रिभुज ABC में A से BC पर शीर्षलंब है।

AD की ढलान की गणना करें:

क्योंकि AD ⟂ BC, BC की ढाल, , संतुष्ट करती है

रेखा BC का समीकरण

इसलिए, सही उत्तर विकल्प 4 है।

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