NCERT Solutions for Class 12 Maths Chapter 3 Matrices Miscellaneous Exercise

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Class 12 Maths NCERT Solutions Chapter 3 Matrices Miscellaneous Exercise Solutions is provided in this article. Chapter 3 Miscellaneous Exercise deals with the order of matrix, operations on matrices, types of matrices, and invertible matrices.

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CBSE CLASS XII Related Questions

  • 1.
    If \( \int \frac{1}{2x^2} \, dx = k \cdot 2x + C \), then \( k \) is equal to:

      • \( -1 \)
      • \( \log 2 \)
      • \( -\log 2 \)
      • \( 1/2 \)

    • 2.
      Let \( 2x + 5y - 1 = 0 \) and \( 3x + 2y - 7 = 0 \) represent the equations of two lines on which the ants are moving on the ground. Using matrix method, find a point common to the paths of the ants.


        • 3.

          Draw a rough sketch for the curve $y = 2 + |x + 1|$. Using integration, find the area of the region bounded by the curve $y = 2 + |x + 1|$, $x = -4$, $x = 3$, and $y = 0$.


            • 4.
              A coin is tossed twice. Let $X$ be a random variable defined as the number of heads minus the number of tails. Obtain the probability distribution of $X$ and also find its mean.


                • 5.
                  Evaluate: $ \tan^{-1} \left[ 2 \sin \left( 2 \cos^{-1} \frac{\sqrt{3}}{2} \right) \right]$


                    • 6.
                      Let $|\vec{a}| = 5 \text{ and } -2 \leq \lambda \leq 1$. Then, the range of $|\lambda \vec{a}|$ is:

                        • [5, 10]
                        • [-2, 5]
                        • [-1, 5]
                        • [10, 5]
                      CBSE CLASS XII Previous Year Papers

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