वर्गमूल सर्पिल में यदि नया कर्ण \(\sqrt{4096}\) है, तो उससे ठीक पहले कौन-सा कर्ण था?
In a square root spiral, if the new hypotenuse is \(\sqrt{4096}\), which hypotenuse was immediately before it?
Explanation opens after your attempt
Correct Answer
B. \(\sqrt{4095}\)
Concept
If the new hypotenuse is \(\sqrt{n+1}\), the previous hypotenuse is \(\sqrt{n}\). Therefore before \(\sqrt{4096}\), it was \(\sqrt{4095}\).
Why this answer is correct
The correct answer is B. \(\sqrt{4095}\). If the new hypotenuse is \(\sqrt{n+1}\), the previous hypotenuse is \(\sqrt{n}\). Therefore before \(\sqrt{4096}\), it was \(\sqrt{4095}\).
Exam Tip
नया कर्ण \(\sqrt{n+1}\) हो तो पिछला कर्ण \(\sqrt{n}\) होता है। इसलिए \(\sqrt{4096}\) से पहले \(\sqrt{4095}\) था।
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