NCERT Solutions Class 11 Maths Chapter 1 Sets Exercise 1.3 Solutions 

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CBSE CLASS XII Related Questions

  • 1.
    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.


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


          • 3.
            The domain of the function \( f(x) = \cos^{-1}(2x) \) is:

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

            • 4.
              Differentiate \(\frac{\sin x}{\sqrt{\cos x}}\) with respect to x.


                • 5.
                  Find : \[ I = \int \frac{x + \sin x}{1 + \cos x} \, dx \]


                    • 6.
                      In a rough sketch, mark the region bounded by \( y = 1 + |x + 1| \), \( x = -2 \), \( x = 2 \), and \( y = 0 \). Using integration, find the area of the marked region.

                        CBSE CLASS XII Previous Year Papers

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