NCERT Solutions for Class 11 Maths Chapter 10 Exercise 10.2

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Class 11 Maths NCERT Solutions Chapter 10 Straight Lines Exercise 10.2 is based on forms of Equation of a Line. Following concepts are covered under this topic:

  • Horizontal and vertical lines
  • Point-slope form
  • Two-point form
  • Slope-intercept form

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CBSE CLASS XII Related Questions

  • 1.

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

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

    • 2.

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

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


        • 3.

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

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

          • 4.

            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

            • 5.

              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 :

                • \(\frac{1}{2}\)
                • \(\frac{3}{5}\)
                • \(\frac{1}{5}\)
                • \(\frac{3}{10}\)

              • 6.

                For the given Linear Programming Problem, shade the feasible region on the graph and write the coordinates of the corner points.

                Minimize \(Z = 5x + 7y\)

                subject to constraints

                \[ 2x + y \geq 8 \]

                \[ x + 2y \geq 10 \]

                \[ x,\ y \geq 0. \]

                  CBSE CLASS XII Previous Year Papers

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