शीर्ष

 A (1, √3), B (0, 0) और C (2, 0) के साथ त्रिभुज का अन्तःकेन्द्र क्या है?

This question was previously asked in
NDA (Held On: 23 April 2017) Maths Previous Year paper
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धारणा:

अन्तःकेन्द्र: अन्तःकेन्द्र बिंदु वह बिंदु है जहां कोण द्विभाजक प्रतिच्छेद करते हैं।

  • बिंदुओं (x1, y1), (x2, y2), (x3, y3) पर शीर्षों के साथ भुजा लम्बाई a, b, c के साथ एक त्रिभुज के लिए अन्तःकेन्द्र  पर निहित है
  • समबाहु त्रिभुज के लिए अन्तःकेन्द्र केन्द्रक के साथ संपाती होता है।


गणना:

OA = 2

यहाँ OA = OB = AB,

चूंकि, दिया गया त्रिभुज एक समबाहु त्रिभुज है।

इसलिए, अन्तःकेन्द्र केन्द्रक के साथ संपाती होता है।

त्रिभुज का अन्तःकेन्द्र

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