फलन (f(x)=\sqrt{2x-x-2}) का प्रांत क्या है?

What is the domain of (f(x)=\sqrt{2x-x-2})?

Explanation opens after your attempt
Correct Answer

A. ([0,2])

Step 1

Concept

The condition \(2x-x^2\ge 0\) gives (x(2-x)\ge 0). Hence \(x\in[0,2]\).

Step 2

Why this answer is correct

The correct answer is A. ([0,2]). The condition \(2x-x^2\ge 0\) gives (x(2-x)\ge 0). Hence \(x\in[0,2]\).

Step 3

Exam Tip

शर्त \(2x-x^2\ge 0\) से (x(2-x)\ge 0) मिलता है। इसलिए \(x\in[0,2]\)।

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Mathematics Answer, Explanation and Revision Hints

फलन (f(x)=\sqrt{2x-x-2}) का प्रांत क्या है? / What is the domain of (f(x)=\sqrt{2x-x-2})?

Correct Answer: A. ([0,2]). Explanation: शर्त \(2x-x^2\ge 0\) से (x(2-x)\ge 0) मिलता है। इसलिए \(x\in[0,2]\)। / The condition \(2x-x^2\ge 0\) gives (x(2-x)\ge 0). Hence \(x\in[0,2]\).

Which concept should I revise for this Mathematics MCQ?

The condition \(2x-x^2\ge 0\) gives (x(2-x)\ge 0). Hence \(x\in[0,2]\).

What exam hint can help solve this Mathematics question?

शर्त \(2x-x^2\ge 0\) से (x(2-x)\ge 0) मिलता है। इसलिए \(x\in[0,2]\)।