NCERT Solutions for Class 11 Maths Chapter 11 Exercise 11.4

CBSE CLASS XII Related Questions

  • 1.

    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. 


      • 2.
        Find : \[ \int \frac{2x+1}{\sqrt{x^2+6x}}\,dx \]


          • 3.
            If \[ P = \begin{bmatrix} 1 & -1 & 0 \\ 2 & 3 & 4 \\ 0 & 1 & 2 \end{bmatrix} \quad \text{and} \quad Q = \begin{bmatrix} 2 & 2 & -4 \\ -4 & 2 & -4 \\ 1 & -1 & 5 \end{bmatrix} \] find \( QP \) and hence solve the following system of equations using matrix method:
            \[ x - y = 3,\quad 2x + 3y + 4z = 13,\quad y + 2z = 7 \]


              • 4.
                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 \(P(E/F)\).


                  • 5.
                    Find the general solution of the differential equation \[ y\log y\,\frac{dx}{dy}+x=\frac{2}{y}. \]


                      • 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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