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Question Hard Mathematics Chapter 1: Real Numbers 5: Irrational numbers Class 10 Level 14

यदि (x) एक अपरिमेय संख्या है, तो (-x) के बारे में सही कथन क्या है?

If (x) is an irrational number, which statement about (-x) is correct?

Explanation opens after your attempt
Correct Answer

B. यह हमेशा अपरिमेय हैIt is always irrational

Step 1

Concept

A negative sign changes direction, not rationality.

Step 2

Why this answer is correct

If (-x) were rational, then (x) would also be rational, which is false.

Step 3

Exam Tip

Treat the sign of a number and its type separately. चरण 1: ऋण चिह्न केवल संख्या की दिशा बदलता है, उसकी परिमेयता नहीं। चरण 2: यदि (-x) परिमेय हो, तो (x) भी परिमेय होगा, जो गलत है। चरण 3: संख्या के चिह्न और संख्या की प्रकृति को अलग-अलग समझें।

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