यदि\(\rm\sqrt{\left(1−\frac{99}{2500}\right)}=\frac{49}{\sqrt{x}}\), तो x का मान है:

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RRB Group D 9 Sept 2022 Shift 2 Official Paper
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  1. 2401
  2. 50
  3. 49
  4. 2500

Answer (Detailed Solution Below)

Option 4 : 2500
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दिया गया है:

\(\rm\sqrt{\left(1−\frac{99}{2500}\right)}=\frac{49}{\sqrt{x}}\)

गणना:

यहाँ, हमारे पास है: \(\rm\sqrt{\left(1−\frac{99}{2500}\right)}=\frac{49}{\sqrt{x}}\)

दोनों पक्षों का वर्ग करने पर, हमें प्राप्त होता है

⇒ \({\left(1−\frac{99}{2500}\right)}=\frac{2401}{{x}}\)

⇒ \(\frac{(2500−99)}{2500}=\frac{2401}{{x}}\)

⇒ \(\frac{2401}{2500}=\frac{2401}{{x}}\)

= 2500 

अतः, अभीष्ट मान 2500 है।

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