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Functions question

2019 · 12 Apr · Shift 1 · Q27

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PYQ Library
JEE Main
Mathematics
Functions
2019 · 12 Apr · Shift 1 · Q27

Functions question

2019 · 12 Apr · Shift 1 · Q27

JEE MainMathematicsFunctionsMCQ+4 / −1

For x

\in

(0, 3/2), let f(x) =

\sqrt x

, g(x) = tan x and h(x) =

{{1 - {x^2}} \over {1 + {x^2}}}

. If

\phi

(x) = ((hof)og)(x), then

\phi \left( {{\pi \over 3}} \right)

is equal to :

A
$\tan {{7\pi } \over {12}}$
B
$\tan {{11\pi } \over {12}}$
C
$\tan {\pi \over {12}}$
D
$\tan {{5\pi } \over {12}}$

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