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If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=|x-2|), at which (x) will (f) attain its minimum value?यदि (f:\mathbb{R}\to\mathbb{R}) और (f(x)=|x-2|), तो (f) का न्यूनतम मान किस (x) पर आएगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (x=2)(x=2)
Step 1: An absolute value is always (0) or positive. Step 2: The minimum of (|x-2|) is (0), which occurs when (x-2=0). Step 3: Therefore, the function is minimum at (x=2).चरण 1: निरपेक्ष मान हमेशा (0) या धनात्मक होता है। चरण 2: (|x-2|) का न्यूनतम (0) तब मिलेगा जब (x-2=0)। चरण 3: इसलिए (x=2) पर फलन न्यूनतम है।
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