NCERT Solutions for Class 11 Maths Chapter 16 Exercise 16.2

CBSE CLASS XII Related Questions

  • 1.
    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.

    • 2.

      Sports car racing is a form of motorsport which uses sports car prototypes.The competition is held on special tracks designed in various shapes. 

      The equation of a sports car racing track is given as: \[ f(x)= \begin{cases} x^4-4x^2+4, & 0\leq x<3,\\ x^2+40, & x\geq 3 \end{cases} \] Based on this information:


        • 3.

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

            • \([-1, 1]\)
            • \([4, 6]\)
            • \([-7, -3]\)
            • \([2, 3]\)

          • 4.
            The least value of \[ f(x)=e^{-x} \] in the interval \[ [0,3] \] is:

              • \( e^{-3} \)
              • \( -1 \)
              • \( 1 \)
              • \( -e^3 \)

            • 5.

              Find the domain of \[ q(x)=\cos^{-1}(4x^2-3). \] Hence, find the value of \(x\) for which \[ q(x)=0. \] Also, write the range of \[ 3q(x)-\pi. \] 


                • 6.

                  Check whether \[ f:\mathbb{R}-\{3\}\rightarrow\mathbb{R} \] defined as \[ f(x)=\frac{x-2}{x-3} \] is onto or not. 

                    CBSE CLASS XII Previous Year Papers

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