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Functions question

2007 · Shift 0 · Q42
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  5. /2007 · Shift 0 · Q42

Functions question

2007 · Shift 0 · Q42

JEE MainMathematicsFunctionsMCQ+4 / −1
The largest interval lying in (−π2,π2)\left( { - {\pi \over 2},{\pi \over 2}} \right)(−2π​,2π​) for which the function f(x)=4−x2+cos⁡−1(x2−1)+log⁡(cos⁡x)f\left( x \right) = {4^{ - {x^2}}} + {\cos ^{ - 1}}\left( {{x \over 2} - 1} \right) + \log \left( {\cos x} \right)f(x)=4−x2+cos−1(2x​−1)+log(cosx), is defined, is
  1. A
    [−π4,π2)\left[ { - {\pi \over 4},{\pi \over 2}} \right)[−4π​,2π​)
  2. B
    [0,π2)\left[ {0,{\pi \over 2}} \right)[0,2π​)
  3. C
    [0,π]\left[ {0,\pi } \right][0,π]
  4. D
    (−π2,π2)\left( { - {\pi \over 2},{\pi \over 2}} \right)(−2π​,2π​)
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