Let `f(x)= cos^(-1)((x^(2))/(x^(2)+1))`. Then , the range of the f , isA. `(0, pi//2]`B. `[-pi//2, pi//2]`C. `[-pi//2, 0]`D. none of these

Let `f(x)= cos^(-1)((x^(2))/(x^(2)+1))`. Then , the range of the f , i

1.	Let `f(x)= cos^(-1)((x^(2))/(x^(2)+1))`. Then , the range of the f , isA. `(0, pi//2]`B. `[-pi//2, pi//2]`C. `[-pi//2, 0]`D. none of these
Answer» Correct Answer - A Since `0 le (x^(2))/(x^(2) + 1) lt 1` for all `x in R`. Therefore `0 lt cos^(-1) ((x^(2))/(x^(2)+1)) lt (pi)/(2)` ` 0 lt f(x) le (pi)/(2) rArr` Range of `f(x) = (0,pi//2)]`

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