NCERT Solutions for Class 11 Maths Chapter 10 Exercise 10.3

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Class 11 Maths NCERT Solutions Chapter 10 Straight Lines Exercise 10.3 is based on forms of Equation of a Line. Following concepts are covered under this topic:

  • General Equation of a Line
  • Distance of a Point From a Line

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CBSE CLASS XII Related Questions

  • 1.

    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

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


      • 2.

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


          • 3.

            Find the product of the maximum and minimum values of the function \( f(x) = \cos x - \frac{1}{2}\cos 2x,\ x \in \left[0, \frac{\pi}{2}\right] \).


              • 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.

                    Evaluate :

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


                      • 6.

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

                          • \( -2\sqrt{\cos x}\cdot\cot x\cdot\operatorname{cosec} x \)
                          • \( \sqrt{\cos x}\cdot\cot x\cdot\operatorname{cosec} x \)
                          • \( \frac{2\sqrt{\cos x}}{\sin x} \)
                          • \( \frac{1}{\sin x\sqrt{\cos x}} \)
                        CBSE CLASS XII Previous Year Papers

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