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If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\cos x), which pair shows that (f) is not one-one?यदि (f:\mathbb{R}\to\mathbb{R}) तथा (f(x)=\cos x) हो तो कौन सा युग्म (f) को एकैकी नहीं दिखाता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (0) and (2\pi)(0) और (2\pi)
Step 1: (\cos 0=1). Step 2: (\cos 2\pi=1), while (0\neq2\pi). Step 3: If different inputs give the same value, the function is not one-one.चरण 1: (\cos 0=1) है। चरण 2: (\cos 2\pi=1) है जबकि (0\neq2\pi)। चरण 3: समान मान देने वाले अलग आगत मिल जाएँ तो फलन एकैकी नहीं है।
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