यदि सार्वत्रिक समुच्चय \(U=\mathbb{R}\) और \(A={x:x^2=4}\) है, तो (A') क्या दर्शाता है?

If the universal set is \(U=\mathbb{R}\) and \(A={x:x^2=4}\), what does (A') represent?

Explanation opens after your attempt
Correct Answer

A. सभी वास्तविक संख्याएँ सिवाय (-2) और (2)All real numbers except (-2) and (2)

Step 1

Concept

The solutions of \(x^2=4\) are (-2) and (2). In \(\mathbb{R}\), the complement is all real numbers except these two.

Step 2

Why this answer is correct

The correct answer is A. सभी वास्तविक संख्याएँ सिवाय (-2) और (2) / All real numbers except (-2) and (2). The solutions of \(x^2=4\) are (-2) and (2). In \(\mathbb{R}\), the complement is all real numbers except these two.

Step 3

Exam Tip

\(x^2=4\) के हल (-2) और (2) हैं। \(\mathbb{R}\) में पूरक इन दोनों को छोड़कर सभी वास्तविक संख्याएँ हैं।

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Mathematics Answer, Explanation and Revision Hints

यदि सार्वत्रिक समुच्चय \(U=\mathbb{R}\) और \(A={x:x^2=4}\) है, तो (A') क्या दर्शाता है? / If the universal set is \(U=\mathbb{R}\) and \(A={x:x^2=4}\), what does (A') represent?

Correct Answer: A. सभी वास्तविक संख्याएँ सिवाय (-2) और (2) / All real numbers except (-2) and (2). Explanation: \(x^2=4\) के हल (-2) और (2) हैं। \(\mathbb{R}\) में पूरक इन दोनों को छोड़कर सभी वास्तविक संख्याएँ हैं। / The solutions of \(x^2=4\) are (-2) and (2). In \(\mathbb{R}\), the complement is all real numbers except these two.

Which concept should I revise for this Mathematics MCQ?

The solutions of \(x^2=4\) are (-2) and (2). In \(\mathbb{R}\), the complement is all real numbers except these two.

What exam hint can help solve this Mathematics question?

\(x^2=4\) के हल (-2) और (2) हैं। \(\mathbb{R}\) में पूरक इन दोनों को छोड़कर सभी वास्तविक संख्याएँ हैं।