यदि कोई सर्पिल \(\sqrt{1}\) से शुरू होकर \(\sqrt{n}\) तक जाता है, तो बनाए गए समकोण त्रिभुजों की संख्या क्या होगी?

If a spiral starts from \(\sqrt{1}\) and goes up to \(\sqrt{n}\), how many right triangles are constructed?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

B. (n-1)

Step 1

Concept

\(\sqrt{2}\) is given by the first triangle, so up to \(\sqrt{n}\), the number of triangles is (n-1). Remember the starting term while writing a general formula.

Step 2

Why this answer is correct

The correct answer is B. (n-1). \(\sqrt{2}\) is given by the first triangle, so up to \(\sqrt{n}\), the number of triangles is (n-1). Remember the starting term while writing a general formula.

Step 3

Exam Tip

\(\sqrt{2}\) पहला त्रिभुज देता है, इसलिए \(\sqrt{n}\) तक त्रिभुजों की संख्या (n-1) होगी। सामान्य सूत्र लिखते समय आरंभिक पद याद रखें।

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Mathematics Answer, Explanation and Revision Hints

यदि कोई सर्पिल \(\sqrt{1}\) से शुरू होकर \(\sqrt{n}\) तक जाता है, तो बनाए गए समकोण त्रिभुजों की संख्या क्या होगी? / If a spiral starts from \(\sqrt{1}\) and goes up to \(\sqrt{n}\), how many right triangles are constructed?

Correct Answer: B. (n-1). Explanation: \(\sqrt{2}\) पहला त्रिभुज देता है, इसलिए \(\sqrt{n}\) तक त्रिभुजों की संख्या (n-1) होगी। सामान्य सूत्र लिखते समय आरंभिक पद याद रखें। / \(\sqrt{2}\) is given by the first triangle, so up to \(\sqrt{n}\), the number of triangles is (n-1). Remember the starting term while writing a general formula.

Which concept should I revise for this Mathematics MCQ?

\(\sqrt{2}\) is given by the first triangle, so up to \(\sqrt{n}\), the number of triangles is (n-1). Remember the starting term while writing a general formula.

What exam hint can help solve this Mathematics question?

\(\sqrt{2}\) पहला त्रिभुज देता है, इसलिए \(\sqrt{n}\) तक त्रिभुजों की संख्या (n-1) होगी। सामान्य सूत्र लिखते समय आरंभिक पद याद रखें।