NCERT Solutions Class 11 Maths Chapter 1 Sets Exercise 1.2 Solutions 

CBSE CLASS XII Related Questions

  • 1.

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


      • 2.

        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 \[ 3q(x)-\pi. \] 


          • 3.
            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

            • 4.

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

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

              • 5.
                In a school, the probability of holding a debate competition is \( \frac{1}{3} \) and that of a quiz competition is \( \frac{2}{3} \). In the two participating teams, A has 4 girls and 6 boys and B has 7 girls and 3 boys. If a debate competition is held, the students are selected from team A and for the quiz competition they are selected from team B. If only two students are to be chosen from the teams, then find the probability that one will be a girl and the other a boy.


                  • 6.
                    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.
                    CBSE CLASS XII Previous Year Papers

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