NCERT Solutions for Class 12 Maths Chapter 12 Miscellaneous Exercise

Collegedunia Team logo

Collegedunia Team

Content Curator

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

Also check other Exercise Solutions of Class 12 Maths Chapter 12 Linear Programming

Also Read:

Also Read:

CBSE CLASS XII Related Questions

  • 1.

    The domain of \[ f(x)=\cos^{-1}(2x-5) \] is: 

      • \([-1, 1]\)
      • \([4, 6]\)
      • \([-7, -3]\)
      • \([2, 3]\)

    • 2.

      For two vectors \(\vec{a}\) and \(\vec{b}\):  

      Assertion (A): \[ |\vec{a}\times\vec{b}|^2+(\vec{a}\cdot\vec{b})^2 = |\vec{a}|^2|\vec{b}|^2 \] Reason (R): \[ |\vec{a}\times\vec{b}| = (\vec{a}\cdot\vec{b})\tan\theta, \quad \theta\neq\frac{\pi}{2}. \]

        • Both Assertion (A) and Reason (R) are true and the Reason (R) is the correct explanation of the Assertion (A).
        • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
        • Assertion (A) is true, but Reason (R) is false.
        • Assertion (A) is false, but Reason (R) is true.

      • 3.
        For a square matrix \(A\), \[ (3A)^{-1}= \]

          • \( 3A^{-1} \)
          • \( 9A^{-1} \)
          • \( \frac{1}{3} A^{-1} \)
          • \( \frac{1}{9} A^{-1} \)

        • 4.
          Assertion (A) : In an experiment of throwing an unbiased die, the probability of getting a prime number given that number appearing on the die being odd is \( \frac{2}{3} \).
          Reason (R) : For any two events \( A \) and \( B \), \( P(A|B) = \frac{P(A \cup B)}{P(B)} \).

            • Both Assertion (A) and Reason (R) are true and the Reason (R) is the correct explanation of the Assertion (A).
            • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
            • Assertion (A) is true and Reason (R) is false.
            • Assertion (A) is false and Reason (R) is true.

          • 5.

            Sports car racing is a form of motorsport which uses sports car prototypes.The competition is held on special tracks designed in various shapes. 

            The equation of a sports car racing track is given as: \[ f(x)= \begin{cases} x^4-4x^2+4, & 0\leq x<3,\\ x^2+40, & x\geq 3 \end{cases} \] Based on this information:


              • 6.

                Check whether \[ f:\mathbb{R}-\{3\}\rightarrow\mathbb{R} \] defined as \[ f(x)=\frac{x-2}{x-3} \] is onto or not. 

                  CBSE CLASS XII Previous Year Papers

                  Comments


                  No Comments To Show