यदि \(\sqrt{2}=\frac{a}{b}\) और (a) सम है तो (a=2r) रखने पर \(a^2=2b^2\) से क्या मिलेगा?

If \(\sqrt{2}=\frac{a}{b}\) and (a) is even, then after taking (a=2r), what follows from \(a^2=2b^2\)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

C. \(b^2=2r^2\)

Step 1

Concept

Putting (a=2r) gives \(4r^2=2b^2\). Simplifying gives \(b^2=2r^2\).

Step 2

Why this answer is correct

The correct answer is C. \(b^2=2r^2\). Putting (a=2r) gives \(4r^2=2b^2\). Simplifying gives \(b^2=2r^2\).

Step 3

Exam Tip

(a=2r) रखने पर \(4r^2=2b^2\) मिलता है। सरल करने पर \(b^2=2r^2\) बनता है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(\sqrt{2}=\frac{a}{b}\) और (a) सम है तो (a=2r) रखने पर \(a^2=2b^2\) से क्या मिलेगा? / If \(\sqrt{2}=\frac{a}{b}\) and (a) is even, then after taking (a=2r), what follows from \(a^2=2b^2\)?

Correct Answer: C. \(b^2=2r^2\). Explanation: (a=2r) रखने पर \(4r^2=2b^2\) मिलता है। सरल करने पर \(b^2=2r^2\) बनता है। / Putting (a=2r) gives \(4r^2=2b^2\). Simplifying gives \(b^2=2r^2\).

Which concept should I revise for this Mathematics MCQ?

Putting (a=2r) gives \(4r^2=2b^2\). Simplifying gives \(b^2=2r^2\).

What exam hint can help solve this Mathematics question?

(a=2r) रखने पर \(4r^2=2b^2\) मिलता है। सरल करने पर \(b^2=2r^2\) बनता है।