MCQ
The range of the function $f(x) = \frac{{\sqrt {1 - {x^2}} }}{{1 + \left| x \right|}}$ is 
  • $\left[ {0,1} \right]$
  • B
    $\left[ {0,\frac{1}{{\sqrt 2 }}} \right]$
  • C
    $\left[ {0,\frac{1}{2}} \right]$
  • D
    $\left[ {0,\frac{{\sqrt 3 }}{2}} \right]$

Answer

Correct option: A.
$\left[ {0,1} \right]$
a
Put $x = sin \theta $

$y = \frac{{\left| {\sin \theta } \right|}}{{1 + \left| {\cos \theta } \right|}}$

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