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Functions question

2005 · Shift 0 · Q60
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Functions question

2005 · Shift 0 · Q60

JEE MainMathematicsFunctionsMCQ+4 / −1
Let f:(−1,1)→Bf:( - 1,1) \to Bf:(−1,1)→B, be a function defined by f(x)=tan⁡−12x1−x2f\left( x \right) = {\tan ^{ - 1}}{{2x} \over {1 - {x^2}}}f(x)=tan−11−x22x​, then fff is both one-one and onto when B is the interval
  1. A
    (0,π2)\left( {0,{\pi \over 2}} \right)(0,2π​)
  2. B
    [0,π2)\left[ {0,{\pi \over 2}} \right)[0,2π​)
  3. C
    [−π2,π2]\left[ { - {\pi \over 2},{\pi \over 2}} \right][−2π​,2π​]
  4. D
    (−π2,π2)\left( { - {\pi \over 2},{\pi \over 2}} \right)(−2π​,2π​)
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