चौरसाचा कर्ण 8√2 सेमी आहे. दुसऱ्या वर्गाचा कर्ण शोधा ज्याचे क्षेत्रफळ पहिल्या चौरसाच्या क्षेत्रफळाच्या तिप्पट आहे.

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SSC CGL 2022 Tier-I Official Paper (Held On : 06 Dec 2022 Shift 4)
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  1. \(8\sqrt 5 \) सेमी
  2. \(8\sqrt 3 \) सेमी
  3. \(8\sqrt 2 \) सेमी
  4. \(8\sqrt 6 \) सेमी

Answer (Detailed Solution Below)

Option 4 : \(8\sqrt 6 \) सेमी
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Detailed Solution

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Concept Used:

चौरसाचा कर्ण = √2 a

Calculations:

चौरसाचा कर्ण  = √2 a

म्हणून, √2 a = 8√2

⇒ a = 8

⇒  a² = 64 सेमी²

म्हणून, दुसऱ्या चौरसाचे क्षेत्रफळ= 3(64) = 192

म्हणून, त्याचे कर्ण= √2 a = √2 × √192 = 8√6 सेमी

म्हणून, आवश्यक मूल्य 8√6 सेमी आहे

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