Hard Mathematics Chapter 1: Real Numbers Class 10 Level 18

यदि \(\sqrt{2}\) का प्रमाण लिखते समय छात्र \(q\neq0\) नहीं लिखता, तो क्या कमी रह जाती है?

If a student does not write \(q\neq0\) while proving \(\sqrt{2}\) irrational, what is missing?

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Correct Answer

A. परिमेय संख्या के रूप की आवश्यक शर्त अधूरी रह जाती हैThe necessary condition of the rational form is incomplete

Step 1

Concept

\(\frac{p}{q}\) is valid only when \(q\neq0\).

Step 2

Why this answer is correct

This condition is necessary when writing the rational form.

Step 3

Exam Tip

Small conditions make the proof complete. चरण 1: \(\frac{p}{q}\) तभी मान्य है जब \(q\neq0\) हो। चरण 2: परिमेय रूप लिखते समय यह शर्त जरूरी है। चरण 3: छोटी शर्तें भी प्रमाण को पूर्ण बनाती हैं।

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The correct answer is A. परिमेय संख्या के रूप की आवश्यक शर्त अधूरी रह जाती है / The necessary condition of the rational form is incomplete.

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