NCERT Solutions for Class 11 Maths Chapter 5 Miscellaneous Exercises

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Class 11 Maths NCERT Solutions Chapter 5 Complex Numbers and Quadratic Equations Miscellaneous Exercises are based on following concepts:

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CBSE CLASS XII Related Questions

  • 1.
    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 \(P(E/F)\).


      • 2.

        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. 


          • 3.

            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. 
             


              • 4.

                A rectangle of perimeter \(24\) cm is revolved along one of its sides to sweep out a cylinder of maximum volume. Find the dimensions of the rectangle. 


                  • 5.
                    Evaluate : \[ \int_{\frac{1}{12}}^{\frac{5}{12}} \frac{dx}{1+\sqrt{\cot x}} \]


                      • 6.
                        Find the general solution of the differential equation \[ y\log y\,\frac{dx}{dy}+x=\frac{2}{y}. \]

                          CBSE CLASS XII Previous Year Papers

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