यदि वर्गमूल सर्पिल में किसी चरण पर नया कर्ण \(\sqrt{31}\) है, तो उससे ठीक पहले वाला कर्ण कौन-सा था?

If the new hypotenuse at a step in a square root spiral is \(\sqrt{31}\), which was the immediately previous hypotenuse?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

B. \(\sqrt{30}\)

Step 1

Concept

If the new hypotenuse is \(\sqrt{n+1}\), the previous one is \(\sqrt{n}\). Therefore before \(\sqrt{31}\), it was \(\sqrt{30}\).

Step 2

Why this answer is correct

The correct answer is B. \(\sqrt{30}\). If the new hypotenuse is \(\sqrt{n+1}\), the previous one is \(\sqrt{n}\). Therefore before \(\sqrt{31}\), it was \(\sqrt{30}\).

Step 3

Exam Tip

नया कर्ण \(\sqrt{n+1}\) हो तो पिछला कर्ण \(\sqrt{n}\) होता है। इसलिए \(\sqrt{31}\) से पहले \(\sqrt{30}\) था।

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Mathematics Answer, Explanation and Revision Hints

यदि वर्गमूल सर्पिल में किसी चरण पर नया कर्ण \(\sqrt{31}\) है, तो उससे ठीक पहले वाला कर्ण कौन-सा था? / If the new hypotenuse at a step in a square root spiral is \(\sqrt{31}\), which was the immediately previous hypotenuse?

Correct Answer: B. \(\sqrt{30}\). Explanation: नया कर्ण \(\sqrt{n+1}\) हो तो पिछला कर्ण \(\sqrt{n}\) होता है। इसलिए \(\sqrt{31}\) से पहले \(\sqrt{30}\) था। / If the new hypotenuse is \(\sqrt{n+1}\), the previous one is \(\sqrt{n}\). Therefore before \(\sqrt{31}\), it was \(\sqrt{30}\).

Which concept should I revise for this Mathematics MCQ?

If the new hypotenuse is \(\sqrt{n+1}\), the previous one is \(\sqrt{n}\). Therefore before \(\sqrt{31}\), it was \(\sqrt{30}\).

What exam hint can help solve this Mathematics question?

नया कर्ण \(\sqrt{n+1}\) हो तो पिछला कर्ण \(\sqrt{n}\) होता है। इसलिए \(\sqrt{31}\) से पहले \(\sqrt{30}\) था।