NCERT Solutions for Class 11 Maths Chapter 16 Exercise 16.2

CBSE CLASS XII Related Questions

  • 1.

    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 $y = 0$.


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

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

        • 3.
          If \( \overrightarrow{a} + \overrightarrow{b} + \overrightarrow{c} = 0 \), \( |\overrightarrow{a}| = \sqrt{37} \), \( |\overrightarrow{b}| = 3 \), and \( |\overrightarrow{c}| = 4 \), then the angle between \( \overrightarrow{b} \) and \( \overrightarrow{c} \) is:

            • \( \frac{\pi}{6} \)
            • \( \frac{\pi}{4} \)
            • \( \frac{\pi}{3} \)
            • \( \frac{\pi}{2} \)

          • 4.
            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

            • 5.
              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]

              • 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

                  Comments


                  No Comments To Show