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Functions question

2020 · 8 Jan · Shift 2 · Q32

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PYQ Library
JEE Main
Mathematics
Functions
2020 · 8 Jan · Shift 2 · Q32

Functions question

2020 · 8 Jan · Shift 2 · Q32

JEE MainMathematicsFunctionsMCQ+4 / −1

Let ƒ : (1, 3)

\to

R be a function defined by

f(x) = {{x\left[ x \right]} \over {1 + {x^2}}}

, where [x] denotes the greatest integer

\le

x. Then the range of ƒ is

A
$\left( {{2 \over 5},{1 \over 2}} \right) \cup \left( {{3 \over 4},{4 \over 5}} \right]$
B
$\left( {{3 \over 5},{4 \over 5}} \right)$
C
$\left( {{2 \over 5},{4 \over 5}} \right]$
D
$\left( {{2 \over 5},{3 \over 5}} \right] \cup \left( {{3 \over 4},{4 \over 5}} \right)$

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