NCERT Solutions for Class 12 Maths Chapter 3 Matrices Exercise 3.4

CBSE CLASS XII Related Questions

  • 1.
    If \[ \begin{bmatrix} 4 + x & x - 1 \\ -2 & 3 \end{bmatrix} \] is a singular matrix, then the value of \( x \) is:

      • 0
      • 1
      • -2
      • -4

    • 2.
      If \( \mathbf{a} \) and \( \mathbf{b} \) are position vectors of two points \( P \) and \( Q \) respectively, then find the position vector of a point \( R \) in \( QP \) produced such that \[ QR = \frac{3}{2} QP. \]


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


            • 4.
              If \( \int \frac{1}{2x^2} \, dx = k \cdot 2x + C \), then \( k \) is equal to:

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

              • 5.

                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 $y = 0$.


                  • 6.
                    Find the probability distribution of the number of boys in families having three children, assuming equal probability for a boy and a girl.

                      CBSE CLASS XII Previous Year Papers

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