वर्गमूल सर्पिल में यदि (m) अगले पूर्ण वर्ग से ठीक (1) कम है, तो \(\sqrt{m}\) के बाद बनने वाले कर्ण के बारे में क्या निश्चित है?

In a square root spiral, if (m) is exactly (1) less than the next perfect square, what is certain about the hypotenuse formed after \(\sqrt{m}\)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

A. वह पूर्ण संख्या होगाIt will be a whole number

Step 1

Concept

The next hypotenuse is \(\sqrt{m+1}\). If (m+1) is a perfect square, its square root will be a whole number.

Step 2

Why this answer is correct

The correct answer is A. वह पूर्ण संख्या होगा / It will be a whole number. The next hypotenuse is \(\sqrt{m+1}\). If (m+1) is a perfect square, its square root will be a whole number.

Step 3

Exam Tip

अगला कर्ण \(\sqrt{m+1}\) होगा। यदि (m+1) पूर्ण वर्ग है, तो उसका वर्गमूल पूर्ण संख्या होगा।

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Mathematics Answer, Explanation and Revision Hints

वर्गमूल सर्पिल में यदि (m) अगले पूर्ण वर्ग से ठीक (1) कम है, तो \(\sqrt{m}\) के बाद बनने वाले कर्ण के बारे में क्या निश्चित है? / In a square root spiral, if (m) is exactly (1) less than the next perfect square, what is certain about the hypotenuse formed after \(\sqrt{m}\)?

Correct Answer: A. वह पूर्ण संख्या होगा / It will be a whole number. Explanation: अगला कर्ण \(\sqrt{m+1}\) होगा। यदि (m+1) पूर्ण वर्ग है, तो उसका वर्गमूल पूर्ण संख्या होगा। / The next hypotenuse is \(\sqrt{m+1}\). If (m+1) is a perfect square, its square root will be a whole number.

Which concept should I revise for this Mathematics MCQ?

The next hypotenuse is \(\sqrt{m+1}\). If (m+1) is a perfect square, its square root will be a whole number.

What exam hint can help solve this Mathematics question?

अगला कर्ण \(\sqrt{m+1}\) होगा। यदि (m+1) पूर्ण वर्ग है, तो उसका वर्गमूल पूर्ण संख्या होगा।