Hard Mathematics Polynomials Class 10 Level 27

यदि \(\alpha=\sqrt{5}\) और \(\beta=-\sqrt{5}\) हैं, तो \(\alpha+\beta\) और \(\alpha\beta\) का सही युग्म कौन सा है?

If \(\alpha=\sqrt{5}\) and \(\beta=-\sqrt{5}\), which is the correct pair of \(\alpha+\beta\) and \(\alpha\beta\)?

Explanation opens after your attempt
Correct Answer

A. (0,-5)

Step 1

Concept

(\sqrt{5}+\(-\sqrt{5}\)=0) and (\sqrt{5}\cdot\(-\sqrt{5}\)=-5). Opposite irrationals can have zero sum.

Step 2

Why this answer is correct

The correct answer is A. (0,-5). (\sqrt{5}+\(-\sqrt{5}\)=0) and (\sqrt{5}\cdot\(-\sqrt{5}\)=-5). Opposite irrationals can have zero sum.

Step 3

Exam Tip

(\sqrt{5}+\(-\sqrt{5}\)=0) और (\sqrt{5}\cdot\(-\sqrt{5}\)=-5) है। विपरीत अपरिमेयों का योग शून्य हो सकता है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(\alpha=\sqrt{5}\) और \(\beta=-\sqrt{5}\) हैं, तो \(\alpha+\beta\) और \(\alpha\beta\) का सही युग्म कौन सा है? / If \(\alpha=\sqrt{5}\) and \(\beta=-\sqrt{5}\), which is the correct pair of \(\alpha+\beta\) and \(\alpha\beta\)?

Correct Answer: A. (0,-5). Explanation: (\sqrt{5}+\(-\sqrt{5}\)=0) और (\sqrt{5}\cdot\(-\sqrt{5}\)=-5) है। विपरीत अपरिमेयों का योग शून्य हो सकता है। / (\sqrt{5}+\(-\sqrt{5}\)=0) and (\sqrt{5}\cdot\(-\sqrt{5}\)=-5). Opposite irrationals can have zero sum.

Which concept should I revise for this Mathematics MCQ?

(\sqrt{5}+\(-\sqrt{5}\)=0) and (\sqrt{5}\cdot\(-\sqrt{5}\)=-5). Opposite irrationals can have zero sum.

What exam hint can help solve this Mathematics question?

(\sqrt{5}+\(-\sqrt{5}\)=0) और (\sqrt{5}\cdot\(-\sqrt{5}\)=-5) है। विपरीत अपरिमेयों का योग शून्य हो सकता है।

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