Concept-wise Practice

absolute-value MCQ Questions for Class 10

absolute-value se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

Practice Questions

2 questions tagged with absolute-value.

Question 1/2 Expert Mathematics Polynomials Irrational numbers and real numbers Class 10 Level 27

कौन सा विकल्प \(\sqrt{a^2}=a\) हमेशा सही नहीं होने का कारण बताता है?

Which option explains why \(\sqrt{a^2}=a\) is not always true?

Explanation opens after your attempt
Correct Answer

A. यदि (a<0), तो \(\sqrt{a^2}=|a|\) होता हैIf (a<0), then \(\sqrt{a^2}=|a|\)

Step 1

Concept

The principal square root is non-negative so \(\sqrt{a^2}=|a|\). In exams be careful when (a) is negative.

Step 2

Why this answer is correct

The correct answer is A. यदि (a<0), तो \(\sqrt{a^2}=|a|\) होता है / If (a<0), then \(\sqrt{a^2}=|a|\). The principal square root is non-negative so \(\sqrt{a^2}=|a|\). In exams be careful when (a) is negative.

Step 3

Exam Tip

मुख्य वर्गमूल अऋणात्मक होता है इसलिए \(\sqrt{a^2}=|a|\) है। परीक्षा में ऋणात्मक (a) के लिए सावधान रहें।

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Question 2/2 Expert Mathematics Polynomials Irrational numbers and real numbers Class 10 Level 26

\(\sqrt{a^2}\) के बारे में सही कथन कौन सा है, जहां (a) वास्तविक संख्या है?

Which statement is correct about \(\sqrt{a^2}\), where (a) is a real number?

Explanation opens after your attempt
Correct Answer

A. \(\sqrt{a^2}=|a|\)

Step 1

Concept

The principal square root is always non-negative, so \(\sqrt{a^2}=|a|\). In exams do not forget the possibility of negative (a).

Step 2

Why this answer is correct

The correct answer is A. \(\sqrt{a^2}=|a|\). The principal square root is always non-negative, so \(\sqrt{a^2}=|a|\). In exams do not forget the possibility of negative (a).

Step 3

Exam Tip

मुख्य वर्गमूल हमेशा अऋणात्मक होता है, इसलिए \(\sqrt{a^2}=|a|\) है। परीक्षा में (a) ऋणात्मक होने की संभावना न भूलें।

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