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JEE MATHEMATICS MCQ: FUNCTIONS

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Let f={(x,x21+x2):x∈R}f=\left\{\left(x, \frac{x^2}{1+x^2}\right): x \in R\right\} be a function from RR into RR. The range of ff is
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Correct option: C
[0,1)[0,1)
Option C ([0,1)[0,1)) is the correct answer because the range of the function f(x)=x21+x2f(x)=\frac{{x^2}}{{1+x^2}} is all values greater than or equal to 0 and strictly less than 1.

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