NCERT Solutions for Class 11 Maths Chapter 10 Exercise 10.1

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Class 11 Maths NCERT Solutions Chapter 10 Straight Lines Exercise 10.1 is based on the following concepts:

  • Slope of a line when coordinates of any two points on the line are given
  • Conditions for parallelism and perpendicularity of lines in terms of their slopes
  • Angle between two lines
  • Collinearity of three points

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CBSE CLASS XII Related Questions

  • 1.

    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 :

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

    • 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.

        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

        • 4.

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

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


            • 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.

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

                  • \( \frac{7\pi}{12} \)
                  • \( \frac{5\pi}{12} \)
                  • \( -\frac{5\pi}{12} \)
                  • \( \frac{\pi}{3} \)
                CBSE CLASS XII Previous Year Papers

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