माना कि ABCD एक समांतर चतुर्भुज है जिसके विकर्ण P पर प्रतिच्छेदित होते हैं और O मूल है।  किसके बराबर है?

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NDA (Held On: 23 April 2017) Maths Previous Year paper
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धारणा:

  • एक समांतर चतुर्भुज के विकर्ण एक दूसरे को प्रतिच्छेदित करते हैं।


गणना:

चूंकि, एक समांतर चतुर्भुज के विकर्ण एक दूसरे को प्रतिच्छेदित करते हैं इसलिए P, AC और BD दोनों का मध्य बिंदु है।

 

         …. (1)

अब


         …. (2)

समीकरण 1 और 2 को जोड़ने पर हमें प्राप्त होता है

 

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