वर्गमूल सर्पिल में किसी चरण पर कर्ण \(\sqrt{m}\) है। यदि (m) पूर्ण वर्ग से ठीक (1) कम है, तो अगला कर्ण कैसा होगा?

At a step in a square root spiral, the hypotenuse is \(\sqrt{m}\). If (m) is exactly (1) less than a perfect square, what will the next hypotenuse be like?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

B. हमेशा पूर्ण संख्याAlways a whole number

Step 1

Concept

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

Step 2

Why this answer is correct

The correct answer is B. हमेशा पूर्ण संख्या / Always a whole number. The next hypotenuse is \(\sqrt{m+1}\). If (m+1) is a perfect square, its square root is 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 किसी चरण पर कर्ण \(\sqrt{m}\) है। यदि (m) पूर्ण वर्ग से ठीक (1) कम है, तो अगला कर्ण कैसा होगा? / At a step in a square root spiral, the hypotenuse is \(\sqrt{m}\). If (m) is exactly (1) less than a perfect square, what will the next hypotenuse be like?

Correct Answer: B. हमेशा पूर्ण संख्या / Always 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 is 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 is 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।