NCERT Solutions for Class 12 Maths Chapter 3 Matrices Exercise 3.2

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Jasmine Grover

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NCERT Solutions for Class 12 Maths Chapter 3 Matrices Exercise 3.2 is given in this article. Chapter 3 Exercise 3.2 includes questions related to operations on matrices, multiplication of a matrix by a scalar, and addition of matrices. The questions also cover the concepts of properties of scalar multiplication and the addition of matrices.

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CBSE CLASS XII Related Questions

  • 1.
    Find: \[ \int \frac{x^2}{(x^2-1)(x^2+4)}\,dx \]


      • 2.
        If \( xy = e^{x - y} \), then find \( \frac{dy}{dx} \).


          • 3.
            Find:

            If \[ (3\hat{i}-2\hat{j}+5\hat{k})\times(4\hat{i}+p\hat{j}+q\hat{k})=\vec{0} \] then find the values of \(p\) and \(q\).

              • \(p = -\frac{2}{3}, \, q = \frac{5}{3}\)
              • \(p = -\frac{8}{3}, \, q = \frac{20}{3}\)
              • \(p = \frac{20}{3}, \, q = -\frac{8}{3}\)
              • \(p = 0, \, q = 0\)

            • 4.
              Find:

              The principal value of \[ \sec^{-1}(\sqrt{2})+2\csc^{-1}(-2) \] is:

                • \(-\frac{\pi}{2}\)
                • \(-\frac{\pi}{4}\)
                • \(\frac{\pi}{4}\)
                • \(\frac{\pi}{2}\)

              • 5.
                Using integration, find the area of the region bounded by the curve \( y = x|x| \), the x-axis, and the vertical lines \( x = -2 \) and \( x = 2 \).


                  • 6.
                    A relation $R$ on set $A=\{1,2,3\}$ defined as $R=\{(1,2),(2,1),(2,2)\}$ is

                      • Reflexive only
                      • Reflexive and Transitive
                      • Symmetric and Transitive
                      • Symmetric only
                    CBSE CLASS XII Previous Year Papers

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