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.
    Evaluate : \[ \int_{-\frac{\pi}{6}}^{\frac{\pi}{3}}(\sin|x|+\cos|x|)\,dx \]


      • 2.
        Mother, Father and Son line up at random for a family picture. Let events \(E\): Son on one end and \(F\): Father in the middle. Find \(P(E/F)\).


          • 3.
            Find the general solution of the differential equation \[ y\log y\,\frac{dx}{dy}+x=\frac{2}{y}. \]


              • 4.

                The probability of hitting the target by a trained sniper is three times the probability of not hitting the target on a stormy day due to high wind speed. The sniper fired two shots on the target on a stormy day when wind speed was very high. Find the probability that 
                (i) target is hit. 
                (ii) at least one shot misses the target. 


                  • 5.
                    A line passing through the points \(A(1,2,3)\) and \(B(6,8,11)\) intersects the line \[ \vec r = 4\hat i + \hat j + \lambda(6\hat i + 2\hat j + \hat k) \] Find the coordinates of the point of intersection. Hence write the equation of a line passing through the point of intersection and perpendicular to both the lines.


                      • 6.

                        Smoking increases the risk of lung problems. A study revealed that 170 in 1000 males who smoke develop lung complications, while 120 out of 1000 females who smoke develop lung related problems. In a colony, 50 people were found to be smokers of which 30 are males. A person is selected at random from these 50 people and tested for lung related problems. Based on the given information answer the following questions: 

                        (i) What is the probability that selected person is a female? 
                        (ii) If a male person is selected, what is the probability that he will not be suffering from lung problems? 
                        (iii)(a) A person selected at random is detected with lung complications. Find the probability that selected person is a female. 
                        OR 
                        (iii)(b) A person selected at random is not having lung problems. Find the probability that the person is a male. 
                         

                          CBSE CLASS XII Previous Year Papers

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