NCERT Solutions Class 11 Maths Chapter 1 Sets Exercise 1.2 Solutions 

Collegedunia Team logo

Collegedunia Team Content Curator

Content Curator

CBSE CLASS XII Related Questions

  • 1.
    If \( \sqrt{1 - x^2} + \sqrt{1 - y^2} = a(x - y) \), then prove that \( \frac{dy}{dx} = \frac{\sqrt{1 - y^2}}{\sqrt{1 - x^2}} \).


      • 2.
        The domain of the function \( f(x) = \cos^{-1}(2x) \) is:

          • \([-1, 1]\)
          • \(\left[0, \frac{1}{2}\right]\)
          • \([-2, 2]\)
          • \(\left[-\frac{1}{2}, \frac{1}{2}\right]\)

        • 3.
          Find : \[ I = \int \frac{x + \sin x}{1 + \cos x} \, dx \]


            • 4.
              Three students run on a racing track such that their speeds add up to 6 km/h. However, double the speed of the third runner added to the speed of the first results in 7 km/h. If thrice the speed of the first runner is added to the original speeds of the other two, the result is 12 km/h. Using the matrix method, find the original speed of each runner.


                • 5.
                  Differentiate \(\frac{\sin x}{\sqrt{\cos x}}\) with respect to x.


                    • 6.
                      Find the least value of ‘a’ so that $f(x) = 2x^2 - ax + 3$ is an increasing function on $[2, 4]$.

                        CBSE CLASS XII Previous Year Papers

                        Comments


                        No Comments To Show