यदि \(f:\mathbb{R}\to\mathbb{R}\), (f(x)=ax+b), तो (f) कब एकैकी होगा?
If \(f:\mathbb{R}\to\mathbb{R}\), (f(x)=ax+b), when will (f) be one-one?
Explanation opens after your attempt
Correct Answer
B. जब \(a\neq 0\)When \(a\neq 0\)
Concept
Assume (f(p)=f(q)).
Why this answer is correct
From (ap+b=aq+b), we get (a(p-q)=0).
Exam Tip
If \(a\neq 0\), then (p=q), so the function is one-one. चरण 1: (f(p)=f(q)) मानें। चरण 2: (ap+b=aq+b) से (a(p-q)=0) मिलता है। चरण 3: यदि \(a\neq 0\) तो (p=q), इसलिए फलन एकैकी है।
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