यदि (f(x)=\frac{x-2-1}{x-2+1}) और (g(x)=\frac{2x}{x-2+1}) हैं तो (\(f^2+g^2\)(x)) का मान क्या है?

If (f(x)=\frac{x-2-1}{x-2+1}) and (g(x)=\frac{2x}{x-2+1}) then what is the value of (\(f^2+g^2\)(x))?

Explanation opens after your attempt
Correct Answer

A. (1)

Step 1

Concept

Here (f-2(x)+g-2(x)=\frac{\(x^2-1\)2+(2x)2}{\(x^2+1\)2}=\frac{\(x^2+1\)2}{\(x^2+1\)2}=1). Recognise the identity while adding squares.

Step 2

Why this answer is correct

The correct answer is A. (1). Here (f-2(x)+g-2(x)=\frac{\(x^2-1\)2+(2x)2}{\(x^2+1\)2}=\frac{\(x^2+1\)2}{\(x^2+1\)2}=1). Recognise the identity while adding squares.

Step 3

Exam Tip

यहाँ (f-2(x)+g-2(x)=\frac{\(x^2-1\)2+(2x)2}{\(x^2+1\)2}=\frac{\(x^2+1\)2}{\(x^2+1\)2}=1)। वर्गों को जोड़ते समय सर्वसमिका पहचानें।

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Mathematics Answer, Explanation and Revision Hints

यदि (f(x)=\frac{x-2-1}{x-2+1}) और (g(x)=\frac{2x}{x-2+1}) हैं तो (\(f^2+g^2\)(x)) का मान क्या है? / If (f(x)=\frac{x-2-1}{x-2+1}) and (g(x)=\frac{2x}{x-2+1}) then what is the value of (\(f^2+g^2\)(x))?

Correct Answer: A. (1). Explanation: यहाँ (f-2(x)+g-2(x)=\frac{\(x^2-1\)2+(2x)2}{\(x^2+1\)2}=\frac{\(x^2+1\)2}{\(x^2+1\)2}=1)। वर्गों को जोड़ते समय सर्वसमिका पहचानें। / Here (f-2(x)+g-2(x)=\frac{\(x^2-1\)2+(2x)2}{\(x^2+1\)2}=\frac{\(x^2+1\)2}{\(x^2+1\)2}=1). Recognise the identity while adding squares.

Which concept should I revise for this Mathematics MCQ?

Here (f-2(x)+g-2(x)=\frac{\(x^2-1\)2+(2x)2}{\(x^2+1\)2}=\frac{\(x^2+1\)2}{\(x^2+1\)2}=1). Recognise the identity while adding squares.

What exam hint can help solve this Mathematics question?

यहाँ (f-2(x)+g-2(x)=\frac{\(x^2-1\)2+(2x)2}{\(x^2+1\)2}=\frac{\(x^2+1\)2}{\(x^2+1\)2}=1)। वर्गों को जोड़ते समय सर्वसमिका पहचानें।