यदि a : b :: b : c, और b = 96 है, तो निम्नलिखित में से कौन-सा a और c के मानों का संभावित युग्म हो सकता है?

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  1. a = 24; c = 374
  2. a = 32; c = 288
  3. a = 48; c = 168
  4. a = 16; c = 586

Answer (Detailed Solution Below)

Option 2 : a = 32; c = 288
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Detailed Solution

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दिया गया है:- 

a : b :: b : c, और b = 96 

प्रयुक्त सूत्र:-

a/b = b/c 

⇒  b2  = ac 

गणना:-

b2  = ac
 

उपरोक्त समीकरण में b का मान रखने पर,

हमें प्राप्त होता है,

 ⇒ 96 × 96 = ac 
 

प्रश्न के अनुसार, केवल एक विकल्प संतुष्ट होता है
उपरोक्त समीकरण जहाँ a = 32, c = 288 है

∴ अभीष्ट उत्तर a = 32, c = 288 है।

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