NCERT Solutions for Class 12 Maths Chapter 3 Matrices Exercise 3.4

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.
            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.


              • 4.
                A carpenter needs to design a wooden box in the shape of a cuboid such that the sum of its length and breadth is 3 cm more than its height. Twice of its length, thrice of its breadth and its height add up to 10 cm. Its breadth added to 7 times its height is 1 cm less than 3 times its length.


                  • 5.
                    An online delivery company in a city has 5000 subscribers and collects annual subscription fees of Rs 300 per subscriber for unlimited free deliveries. The company wishes to increase the annual subscription fee. It is predicted that, for every increase of Rs 1, ten subscribers will discontinue. Assume that the company increased the annual fee by Rs x.


                      • 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 :

                          CBSE CLASS XII Previous Year Papers

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