Verified Solution • 2025–26 Session moderate

QJEEAdv07Maa734: JEE Advanced 2007 Mathematics - Class 12 JEEAdv07Maa734 Solution: Let for all real . STATEMENT - 1: for eachreal , there exists a …

Let    \,\,\, f(x)=2+cos⁡xf\left( x \right) = 2 + \cos x for all real XX .

STATEMENT - 1: for eachreal tt , there exists a point cc in [t,t+π]\left[ {t,t + \pi } \right] such that f′(c)=0f'\left( c \right) = 0 because
STATEMENT - 2: f(t)=f(t+2π)f\left( t \right) = f\left( {t + 2\pi } \right) for each real tt .

Multiple Choice Options

  • A Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1
  • B Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1
  • C Statement-1 is True, Statement-2 is False
  • D Statement-1 is False, Statement-2 is True.

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