NCERT Solutions for Class 12 Maths Chapter 12 Miscellaneous Exercise

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Class 12 Maths NCERT Solutions Chapter 12 Linear Programming Miscellaneous Exercises are provided in the article. Class 12 Chapter 12 Linear Programming Exercises include questions on following concepts: 

  • Linear Programming Problem and its Mathematical Formulation
  • Different Types of Linear Programming Problems

Download PDF NCERT Solutions for Class 12 Maths Chapter 12 Linear Programming Miscellaneous Exercises 

Check out the solutions of Class 12 Maths NCERT solutions chapter 12 Linear Programming Miscellaneous Exercises 

Read More: NCERT Solutions For Class 12 Mathematics Chapter 12 Linear Programming

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CBSE CLASS XII Related Questions

  • 1.
    Find:

    If the function \[ f(x)= \begin{cases} \frac{\sin x}{x}+\cos x, & x\neq0\\ k, & x=0 \end{cases} \] is continuous at \(x=0\), then find the value of \(k\).

      • \(0\)
      • \(-2\)
      • \(-1\)
      • \(2\)

    • 2.
      Using integration, find the area of the region bounded by the curve \( y = x|x| \), the x-axis, and the vertical lines \( x = -2 \) and \( x = 2 \).


        • 3.
          Which of the following equations is NOT a Linear Differential Equation?

            • \((1 + x^2) \, dy + 2xy \, dx = \cot x \, dx\)
            • \(y + \frac{d}{dx}(xy) = x(\sin x + \log x)\)
            • \(x(1 + y^2) \, dx - y(1 + x^2) \, dy = 0\)
            • \(y \, dx - (x + 3y^2) \, dy = 0\)

          • 4.
            Find:

            The principal value of \[ \sec^{-1}(\sqrt{2})+2\csc^{-1}(-2) \] is:

              • \(-\frac{\pi}{2}\)
              • \(-\frac{\pi}{4}\)
              • \(\frac{\pi}{4}\)
              • \(\frac{\pi}{2}\)

            • 5.

              At a birthday party, children are being served orange juice in conical cups, as shown in the figure. 


              Each cup is 15 cm deep and has a radius 5 cm. The juice is being poured into this cup at a rate of 0·1 cm3/s.
              On the basis of the above information, answer the following questions :


                • 6.

                  A carpenter needs to design a wooden box in the shape of a cuboid such that the sum of its length and breadth is 3 cm more than its height. Twice of its length, thrice of its breadth and its height add up to 10 cm. Its breadth added to 7 times its height is 1 cm less than 3 times its length. 

                    CBSE CLASS XII Previous Year Papers

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