यदि (f(x)=|x-1|) और (g(x)=|x+1|) हैं, तो ((f-g)(x)=0) किसके लिए सत्य है?
If (f(x)=|x-1|) and (g(x)=|x+1|), for which (x) is ((f-g)(x)=0) true?
Explanation opens after your attempt
Correct Answer
A. (x=0)
Concept
(|x-1|=|x+1|) means (x) is equally distant from (1) and (-1), so (x=0). The distance idea is useful in modulus questions.
Why this answer is correct
The correct answer is A. (x=0). (|x-1|=|x+1|) means (x) is equally distant from (1) and (-1), so (x=0). The distance idea is useful in modulus questions.
Exam Tip
(|x-1|=|x+1|) का अर्थ है कि (x) दोनों बिंदुओं (1) और (-1) से समान दूरी पर है, इसलिए (x=0)। मापांक में दूरी का विचार उपयोगी है।
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