NCERT Solutions for Class 11 Maths Chapter 15 Exercise 15.1

CBSE CLASS XII Related Questions

  • 1.

    The motion of a particle is described as \( S = 2t^{3} - 6t^{2} + 8 \). Its velocity \( \frac{dS}{dt} \), when the acceleration \( \frac{d^{2}S}{dt^{2}} \) vanishes is :

      • \( -6 \) unit/sec
      • \( 0 \) unit/sec
      • \( 18 \) unit/sec
      • \( 6 \) unit/sec

    • 2.

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

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

      • 3.

        For the following Linear Programming Problem, shade the feasible region on the graph and find the coordinates of its corner points :

        Minimize \(Z = 18x + 10y\)

        subject to constraints

        \[ \begin{aligned} 4x + y &\ge 20 \\ 2x + 3y &\ge 30 \\ x, y &\ge 0. \end{aligned} \]


          • 4.

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

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

            • 5.

              Find the value of \(x\) if \(A = B\), where

              \[ A = \begin{bmatrix} 6 & 3x \\ 8 & -6 \end{bmatrix} \text{ and } B = \begin{bmatrix} 6 & x^2+2 \\ 8 & x^2-5x \end{bmatrix}. \]


                • 6.

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

                    • \(0.35\)
                    • \(0.85\)
                    • \(0.5\)
                    • \(0.21\)
                  CBSE CLASS XII Previous Year Papers

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