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Functions question

2023 · 31 Jan · Shift 1 · Q31

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JEE Main
Mathematics
Functions
2023 · 31 Jan · Shift 1 · Q31

Functions question

2023 · 31 Jan · Shift 1 · Q31

JEE MainMathematicsFunctionsMCQ+4 / −1

If the domain of the function

f(x)=\frac{[x]}{1+x^{2}}

, where

[x]

is greatest integer

\leq x

, is

[2,6)

, then its range is

A
$\left(\frac{5}{37}, \frac{2}{5}\right]-\left\{\frac{9}{29}, \frac{27}{109}, \frac{18}{89}, \frac{9}{53}\right\}$
B
$\left(\frac{5}{37}, \frac{2}{5}\right]$
C
$\left(\frac{5}{26}, \frac{2}{5}\right]$
D
$\left(\frac{5}{26}, \frac{2}{5}\right]-\left\{\frac{9}{29}, \frac{27}{109}, \frac{18}{89}, \frac{9}{53}\right\}$

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