NCERT Solutions for Class 11 Maths Chapter 7 Exercise 7.3

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.
        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.
          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.
            Find: \[ \int \frac{x^2}{(x^2+9)(x^2+16)}\,dx \]


              • 5.

                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. 


                  • 6.

                    If \[ B(\operatorname{adj} B)= \begin{bmatrix} \frac{1}{3} & 0 & 0\\ 0 & \frac{1}{3} & 0\\ 0 & 0 & \frac{1}{3} \end{bmatrix}, \] then the value of \[ \det(B^{-1}) \] is: 

                      • \(\frac{1}{3}\)
                      • \(\frac{1}{9}\)
                      • \(3\)
                      • \(9\)
                    CBSE CLASS XII Previous Year Papers

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