NCERT Solutions Class 11 Maths Chapter 1 Sets Exercise 1.2 Solutions 

CBSE CLASS XII Related Questions

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


      • 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.

            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. 


              • 4.
                Find the domain of \(p(x)=\sin^{-1}(1-2x^2)\). Hence, find the value of \(x\) for which \(p(x)=\frac{\pi}{6}\). Also, write the range of \(2p(x)+\frac{\pi}{2}\).


                  • 5.

                    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. 
                     


                      • 6.
                        Evaluate : \[ \int_{\frac{1}{12}}^{\frac{5}{12}} \frac{dx}{1+\sqrt{\cot x}} \]

                          CBSE CLASS XII Previous Year Papers

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