NCERT Solutions for Class 11 Maths Chapter 2 Exercise 2.3

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Class 11 Maths NCERT Solutions Chapter 2 Relations and Functions Exercise 2.3 is based on the following concepts: 

  1. Some functions and their graphs (Identity function, Constant function, Polynomial function, Rational functions, Modulus function, Signum function, Greatest integer function)
  2. Algebra of real functions (Addition of Two Real Functions, Subtraction of a real function from another, Multiplication by a scalar, Multiplication of two real functions, Quotient of two real functions)

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CBSE CLASS XII Related Questions

  • 1.
    For \[ f(x)=x+\frac{1}{x}, \quad x\neq 0. \]

      • local maximum value is 2
      • local minimum value is \( -2 \)
      • local maximum value is \( -2 \)
      • local minimum value \( < \) local maximum value

    • 2.
      Assertion (A) : In an experiment of throwing an unbiased die, the probability of getting a prime number given that number appearing on the die being odd is \( \frac{2}{3} \).
      Reason (R) : For any two events \( A \) and \( B \), \( P(A|B) = \frac{P(A \cup B)}{P(B)} \).

        • Both Assertion (A) and Reason (R) are true and the Reason (R) is the correct explanation of the Assertion (A).
        • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
        • Assertion (A) is true and Reason (R) is false.
        • Assertion (A) is false and Reason (R) is true.

      • 3.
        Evaluate: \[ \cos\left[\sin^{-1}(-1)-\tan^{-1}(-\sqrt{3})\right]. \]


          • 4.

            Check whether the function \[ f(x)= \begin{cases} \dfrac{|x-3|}{2(x-3)}, & x<3,\\[6pt] \dfrac{x-6}{6}, & x\geq 3 \end{cases} \] is continuous at \(x=3\) or not. 


              • 5.
                If \[ \frac{d}{dx}(F(x))=\frac{1}{e^x+1}, \] then find \(F(x)\), given that \[ F(0)=\log\left(\frac{1}{2}\right). \]


                  • 6.

                    The domain of \[ f(x)=\cos^{-1}(2x-5) \] is: 

                      • \([-1, 1]\)
                      • \([4, 6]\)
                      • \([-7, -3]\)
                      • \([2, 3]\)
                    CBSE CLASS XII Previous Year Papers

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