Sets, Relations & Functions · JEE Main previous year questions

2002 2 questions

1. Q432002 · 27 Apr 2002 · Shift 1

   The domain of ${\sin }^{-1}\left[{\log }_3\left(\frac{x}{3}\right)\right]$ is

   1. A.[1, 9]
   2. B.[-1, 9]
   3. C.[9, 1]
   4. D.[-9, -1]
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   Answer: A

2. Q502002 · 27 Apr 2002 · Shift 1

   f(x) and g(x) are two differentiable functions on [0, 2] such that $f^{\prime \prime }(x)-g^{\prime \prime }(x)=0,f^{\prime }(1)=2,g^{\prime }(1)=4,f(2)=3,g(2)=9$ then f(x) - g(x) at x = $\frac{3}{2}$ is

   1. A.0
   2. B.2
   3. C.10
   4. D.-5
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   Answer: D