NCERT Solutions Class 11 Maths Chapter 1 Sets Exercise 1.2 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.

        Differential of \( \log \sin x \) with respect to \( \sqrt{\cos x} \) is :

          • \( -2\sqrt{\cos x}\cdot\cot x\cdot\operatorname{cosec} x \)
          • \( \sqrt{\cos x}\cdot\cot x\cdot\operatorname{cosec} x \)
          • \( \frac{2\sqrt{\cos x}}{\sin x} \)
          • \( \frac{1}{\sin x\sqrt{\cos x}} \)

        • 3.

          Evaluate :

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


            • 4.

              Solve the differential equation \( (x+y)\,dy + (x-y)\,dx = 0 \), given that \( y(1) = 1 \).


                • 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.

                    If \(y = \sqrt{\log \left\{ \sin \left( \dfrac{x^2}{3} + 1 \right) \right\}}\), then show that

                    \[ \frac{dy}{dx} = \frac{x \cot \left( \dfrac{x^2}{3} + 1 \right)}{3y}. \]

                      CBSE CLASS XII Previous Year Papers

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