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Example 9:      Plot the following points on a graph
                                    paper:                                                         Y
                                    (a)  A(–4, 2)    (b)  B(2, 5)
                                                                                                  6
                                    (c)  C(0, 3)     (d)  D(–2, –1)                               5       B(2,5)
                                                                                                  4
                                    (e)  E(–3, 0)    (f)  F(1, –2)                                   C(0,3)
                                                                                         A(–4,2)  3
                    Solution:       (a)   Take a graph paper and draw                             2
                                        the X-axis and the Y-axis.                        E(–3,0)  1
                                                                                X’                                   X
                                    (b)  Mark the origin 0.                         –5  –4  –3  –2  –1 –1 0  1  2 3 4 5
                                    (c)   Using a proper scale, mark                   D(–2,–1)  –2    F(1,–2)
                                        numbers on X- and Y-axis.                                –3
                                    (d)   Plot the above points keeping
                                        in mind the quadrant in which                              Y’
                                        it lies.



                    Example 10:     Write the coordinates of the vertices in
                                    the following figure:                            Y
                    Solution:       Draw perpendiculars from points J, K, L,       10
                                    M and N on the X-axis and the Y-axis.
                                                                                    9
                                    Now, AJ = 2, JB = 5                             8
                                    fi Coordinates of J are (2, 5)                   7  G           N

                                    Similarly, KC = 1, KD = 1                       6  A  J
                                                                                    5                         M
                                    fi Coordinates of K are (1, 1)                   4

                                      LC = 10, LE = 1                               3
                                                                                    2
                                    fi Coordinates of L are (10, 1)                     K
                                                                                    1  C                         L
                                      AM = 9, MF = 5                          X’         D  B       H       F    E   X
                                                                                     0  1 2 3 4 5 6 7 8 9 10
                                    fi Coordinates of M are (9, 5)
                                      GN = 5, NH = 7                                 Y’

                                    fi Coordinates of N are (5, 7)




                       EXERCISE 21.3


                         1.  Write the quadrants in which the following points lie:
                            (a) (–4, 7)        (b) (3, 5)         (c) (1, –2)        (d) (–3, –3)
                            (e)  (8, 10)       (f) (6, –8)

                         2.  Plot the following points on a graph:
                            (a) (0, 3)         (b) (2, –3)        (c) (–1, 4)        (d) (2, 0)

                            (e) (4, –5)        (f) (4, 8)         (g) (–3, 0)        (h) (–2, –3)


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