दिए गए चित्र में X का मान ज्ञात कीजिए।

\(\sqrt{100 - x} = \sqrt{150 - \sqrt{36}}. \)

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UP Police SI (दरोगा) Official PYP (Held On: 28 Nov 2021 Shift 1)
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  1. 48
  2. -44
  3. 27
  4. 44

Answer (Detailed Solution Below)

Option 2 : -44
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UP Police SI (दरोगा) Official PYP (Held On: 2 Dec 2021 Shift 1)
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दिया गया है:

\(\sqrt{100 - x} = \sqrt{150 - \sqrt{36}}. \)

गणनाएँ:

\(\sqrt{36} = 6\)

\(\Rightarrow \sqrt{100 - x} = \sqrt{150 - 6} = \sqrt{144}\)

\(\Rightarrow \sqrt{100 - x} = 12\)

अब दोनों पक्षों का वर्ग करने पर:

\(\Rightarrow 100 - x = 144\)

\(\Rightarrow x = 100 - 144 = -44\)

इसलिए, \(x = -44\) का मान -44 है। 

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