ABCD एक समलंब है, जिसमें CD और AB की लंबाई 12 सेमी और 8 सेमी है। AC और BD विकर्ण हैं, जिनके मध्यबिंदु P और Q हैं। PQ की लंबाई ज्ञात कीजिए? (जहाँ, CD ∥ AB)

  1. 2 सेमी 
  2. 4 सेमी 
  3. 3 सेमी 
  4. 5 सेमी 

Answer (Detailed Solution Below)

Option 1 : 2 सेमी 
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PYST 1: SSC CGL - General Awareness (Held On : 20 April 2022 Shift 2)
25 Qs. 50 Marks 10 Mins

Detailed Solution

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दिया गया है:

AB = 8 सेमी 

CD = 12 सेमी 

AP = PC

BQ = QD

प्रयुक्त सूत्र:

एक समलंब के विकर्णों के मध्य बिंदुओं को मिलाने वाली रेखा की लंबाई = (लंबी समांतर भुजा - छोटी समांतर भुजा)/2

गणना:

PQ = (DC - AB)/2

⇒ (12 - 8)/2

⇒ 4/2 

⇒ 2 सेमी 

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