Hard Mathematics Sets Class 11 Level 9

यदि \(A=\{0,1\}\) और \(B={x:x^2=x}\), तो सही संबंध क्या है?

If \(A=\{0,1\}\) and \(B={x:x^2=x}\), what is the correct relation?

Explanation opens after your attempt
Correct Answer

A. (A=B)

Step 1

Concept

From \(x^2=x\), (x(x-1)=0), so (x=0) or (x=1). Both sets are equal.

Step 2

Why this answer is correct

The correct answer is A. (A=B). From \(x^2=x\), (x(x-1)=0), so (x=0) or (x=1). Both sets are equal.

Step 3

Exam Tip

\(x^2=x\) से (x(x-1)=0), इसलिए (x=0) या (x=1)। दोनों समुच्चय समान हैं।

Related Mathematics Questions

FAQs

Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{0,1\}\) और \(B={x:x^2=x}\), तो सही संबंध क्या है? / If \(A=\{0,1\}\) and \(B={x:x^2=x}\), what is the correct relation?

Correct Answer: A. (A=B). Explanation: \(x^2=x\) से (x(x-1)=0), इसलिए (x=0) या (x=1)। दोनों समुच्चय समान हैं। / From \(x^2=x\), (x(x-1)=0), so (x=0) or (x=1). Both sets are equal.

Which concept should I revise for this Mathematics MCQ?

From \(x^2=x\), (x(x-1)=0), so (x=0) or (x=1). Both sets are equal.

What exam hint can help solve this Mathematics question?

\(x^2=x\) से (x(x-1)=0), इसलिए (x=0) या (x=1)। दोनों समुच्चय समान हैं।

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