NCERT Solutions for Class 11 Maths Chapter 16 Exercise 16.1

CBSE CLASS XII Related Questions

  • 1.
    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.


      • 2.
        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]

        • 3.
          Find the probability distribution of the number of boys in families having three children, assuming equal probability for a boy and a girl.


            • 4.
              The integrating factor of the differential equation \( (x + 2y^3) \frac{dy}{dx} = 2y \) is:

                • \( e^{y^2} \)
                • \( \frac{1}{\sqrt{y}} \)
                • \( e^{-\frac{1}{y^2}} \)
                • \( e^{y^2} \)

              • 5.
                If \( \int \frac{1}{2x^2} \, dx = k \cdot 2x + C \), then \( k \) is equal to:

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

                • 6.
                  Evaluate: $ \tan^{-1} \left[ 2 \sin \left( 2 \cos^{-1} \frac{\sqrt{3}}{2} \right) \right]$

                    CBSE CLASS XII Previous Year Papers

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