वर्गमूल सर्पिल में यदि नया कर्ण \(\sqrt{82}\) बनता है, तो पिछले कर्ण की लंबाई क्या थी?

If the new hypotenuse formed in a square root spiral is \(\sqrt{82}\), what was the length of the previous hypotenuse?

Author: Muft Shiksha Editorial Team Published:
Explanation opens after your attempt
Correct Answer

B. \(\sqrt{81}\)

Step 1

Concept

If the new hypotenuse is \(\sqrt{n+1}\), the previous one is \(\sqrt{n}\). Therefore before \(\sqrt{82}\), it was \(\sqrt{81}\).

Step 2

Why this answer is correct

The correct answer is B. \(\sqrt{81}\). If the new hypotenuse is \(\sqrt{n+1}\), the previous one is \(\sqrt{n}\). Therefore before \(\sqrt{82}\), it was \(\sqrt{81}\).

Step 3

Exam Tip

नया कर्ण \(\sqrt{n+1}\) होता है तो पिछला कर्ण \(\sqrt{n}\) होता है। इसलिए \(\sqrt{82}\) से पहले \(\sqrt{81}\) था।

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वर्गमूल सर्पिल में यदि नया कर्ण \(\sqrt{82}\) बनता है, तो पिछले कर्ण की लंबाई क्या थी? / If the new hypotenuse formed in a square root spiral is \(\sqrt{82}\), what was the length of the previous hypotenuse?

Correct Answer: B. \(\sqrt{81}\). Explanation: नया कर्ण \(\sqrt{n+1}\) होता है तो पिछला कर्ण \(\sqrt{n}\) होता है। इसलिए \(\sqrt{82}\) से पहले \(\sqrt{81}\) था। / If the new hypotenuse is \(\sqrt{n+1}\), the previous one is \(\sqrt{n}\). Therefore before \(\sqrt{82}\), it was \(\sqrt{81}\).

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 \(\sqrt{82}\), it was \(\sqrt{81}\).

What exam hint can help solve this Mathematics question?

नया कर्ण \(\sqrt{n+1}\) होता है तो पिछला कर्ण \(\sqrt{n}\) होता है। इसलिए \(\sqrt{82}\) से पहले \(\sqrt{81}\) था।