यदि (f(x)=x-2) और (g(x)=2) हों, तो ((f+g)(x)) और ((fg)(x)) बराबर कब होंगे?

If (f(x)=x-2) and (g(x)=2), when will ((f+g)(x)) and ((fg)(x)) be equal?

Explanation opens after your attempt
Correct Answer

A. \(x=\pm \sqrt{2}\)

Step 1

Concept

The equation \(x^2+2=2x^2\) gives \(x^2=2\), so \(x=\pm\sqrt{2}\). Equate both expressions and solve.

Step 2

Why this answer is correct

The correct answer is A. \(x=\pm \sqrt{2}\). The equation \(x^2+2=2x^2\) gives \(x^2=2\), so \(x=\pm\sqrt{2}\). Equate both expressions and solve.

Step 3

Exam Tip

समीकरण \(x^2+2=2x^2\) से \(x^2=2\), इसलिए \(x=\pm\sqrt{2}\)। दोनों पक्षों को बराबर रखकर हल करें।

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Mathematics Answer, Explanation and Revision Hints

यदि (f(x)=x-2) और (g(x)=2) हों, तो ((f+g)(x)) और ((fg)(x)) बराबर कब होंगे? / If (f(x)=x-2) and (g(x)=2), when will ((f+g)(x)) and ((fg)(x)) be equal?

Correct Answer: A. \(x=\pm \sqrt{2}\). Explanation: समीकरण \(x^2+2=2x^2\) से \(x^2=2\), इसलिए \(x=\pm\sqrt{2}\)। दोनों पक्षों को बराबर रखकर हल करें। / The equation \(x^2+2=2x^2\) gives \(x^2=2\), so \(x=\pm\sqrt{2}\). Equate both expressions and solve.

Which concept should I revise for this Mathematics MCQ?

The equation \(x^2+2=2x^2\) gives \(x^2=2\), so \(x=\pm\sqrt{2}\). Equate both expressions and solve.

What exam hint can help solve this Mathematics question?

समीकरण \(x^2+2=2x^2\) से \(x^2=2\), इसलिए \(x=\pm\sqrt{2}\)। दोनों पक्षों को बराबर रखकर हल करें।