Class 12 Relations And Functions · Mcq Single Correct1 Markstypes_of_functions

Class 12 Maths · Relations And Functions · Mcq Single Correct #60

A function \(f:R\to[-1,1]\) is defined by \(f(x)=\sin x\), where \(R\) is a subset of the real numbers. It is one-one and onto if \(R\) is the interval

(A) \([0,2\pi]\)
(B) \([-\pi/2,\pi/2]\)
(C) \([-\pi,\pi]\)
(D) \([0,\pi]\)

✅ Step-by-Step Solution

Final Answer: Option (B): \([-\pi/2,\pi/2]\)

On \([-\pi/2,\pi/2]\), sine is strictly increasing and attains every value in \([-1,1]\). The other intervals have repeated sine values.

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Class 12 Maths · Relations And Functions · Mcq Single Correct #60

✅ Step-by-Step Solution

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