NCERT Solutions Class 11 Maths Chapter 1 Sets Exercise 1.4 Solutions 

CBSE CLASS XII Related Questions

  • 1.

    Find the sum of maximum and minimum values of \(f(x) = \sin x\,(1 + \cos x)\) in the interval \([0, \pi]\).


      • 2.

        The value of \( \left[ \tan^{-1}(-1) + \cos^{-1}\left(-\frac{1}{2}\right) + \sin^{-1}\left(\frac{1}{2}\right) \right] \) is :

          • \( \frac{7\pi}{12} \)
          • \( \frac{5\pi}{12} \)
          • \( -\frac{5\pi}{12} \)
          • \( \frac{\pi}{3} \)

        • 3.

          Evaluate :

          \[ I = \int_{-\pi}^{\pi} \frac{2x\,(1+\sin x)}{1+\cos^2 x}\,dx \]


            • 4.

              \( \int e^{x}\left( \frac{2+\sin 2x}{1+\cos 2x} \right) dx \) is equal to :

                • \( \log \cos 2x + C \)
                • \( \sec^{2} 2x + C \)
                • \( e^{x}\tan x + C \)
                • \( e^{x}\cot x + C \)

              • 5.

                If \(P(A) = 0.3\), \(P(B) = 0.7\) and \(P(B/A) = 0.5\), then \(P(A \cup B)\) is :

                  • \(0.35\)
                  • \(0.85\)
                  • \(0.5\)
                  • \(0.21\)

                • 6.

                  For events A and B, if \(P(B)=\frac{3}{5}\), \(P(A/B)=\frac{1}{2}\) and \(P(A\cup B)=\frac{4}{5}\), then \(P(A)\) is :

                    • \(\frac{1}{2}\)
                    • \(\frac{3}{5}\)
                    • \(\frac{1}{5}\)
                    • \(\frac{3}{10}\)
                  CBSE CLASS XII Previous Year Papers

                  Comments


                  No Comments To Show