NCERT Solutions for Class 11 Maths Chapter 11 Exercise 11.2

CBSE CLASS XII Related Questions

  • 1.
    A racing track is build around an elliptical ground whose equation is given by \( 9x^2 + 16y^2 = 144 \).The width of the track is 3 m as shown below :


      • 2.
        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. If a person is selected at random from these 50 people


          • 3.
            In an online jackpot, there is one first prize of Rs 3,00,000, two second prizes of Rs 2,00,000 each and three third prizes of Rs 50,000 each.
            A total of 1,00,000 jackpot tickets each costing Rs 100 were sold there by raising a fund of Rs 1,00,00,000. Rohan bought one ticket.


              • 4.
                Two vertical light poles of height \(22 \text{ m}\) and \(16 \text{ m}\) stand on the opposite sides of a \(20 \text{ m}\) wide road. Two ladders of length \(l_1\) and \(l_2\) are placed from a common point \(R\) on the road at a distance of \(x \text{ m}\) from the smaller pole.
                Based on the above information,


                  • 5.
                    A survey was conducted to find out the success rate of students who qualified the entrance examination by dropping a year after class XII.
                    As per the data collected, 40% students appearing in the examination were dropouts and the remaining students were regular students of class XII.
                    Of the dropouts, 5% qualify the examination while 10% of the regular students qualify the examination.
                    Based on the above information, answer the following questions.


                      • 6.
                        There is a triangular park \(ABC\) in the society. The park is divided into two sections as shown in the figure.
                        In the region OAC, children are allowed to play games like cricket, football, while in the region AOB, activities which involve running are not allowed.
                        The vertices of the triangular park that is ABC are \(A(0, 4), B(-2, 0)\) and \(C(3, 0)\).
                        Based on the above information, answer the following questions :

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