एक समांतर चतुर्भुज में लगातार तीन शीर्ष (-3, 4), (0, -4) और (5, 2) होते हैं। चौथा शीर्ष _____ है।

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  1. (2, 10)
  2. (2, 9)
  3. (3, 9)
  4. (4, 10)

Answer (Detailed Solution Below)

Option 1 : (2, 10)
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अवधारणा:

ABCD एक समांतर चतुर्भुज है P, Q, R और S क्रमशः AB, BC, CD और DA के मध्य बिंदु हैं। फिर PR और SQ एक दूसरे को समद्विभाजक करते हैं।

F1 Amar T 29-11-21 Savita D1

गणना:

F1 Amar T 29-11-21 Savita D2

मध्य-बिंदु प्रमेय को लागू करना,

\(\rm {{x+0}\over2}={{5-3}\over2}\)

⇒ x = 2

\({{y-4}\over2}={{4+2}\over2}\)

⇒ y = १०

तो, चौथा निर्देशांक (2, 10) है

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