Let us consider the lamp as a point A and table as a plane.
Take any two perpendicular edges of the table. Measure the distance of the lamp from the longer edge AD (denoting y-axis), let it be 25 cm.
Again, measure the distance of the lamp from the shorter edge AB (denoting x-axis);
let it be 15 cm. Therefore, the position of the lamp can be written as (15, 25).
The street plan is shown by the following figure.
(i) There is only one cross-street which could be referred to as (4, 3).
(ii) There is only one cross-street which could be referred to as (3, 4).
(i) Horizontal line is known as x-axis (abscissa) and vertical lane is known as y-axis (ordinate) which are drawn to determine the position of any point in the cartesian plane.
(ii) Each part of the plane formed by horizontal and vertical lines is known as quadrant.
(iii) The point at which these two horizontal and vertical lines intersect is called as origin.
(i) The coordinates of B = (-5, 2) and B lies in II quadrant.
(Since, abscissa = -5 & ordinate = 2)
(ii) The coordinates of C = (5, -5).
(iii) The point identified by the coordinates (-3, -5) is E.
(iv) The point identified by the coordinates (2, -4) is G.
(v) The abscissa of the point D = 6.
(vi) The ordinate of the point H = -3.
(vii) The coordinates of the point L = (0, 5) (Lies on y-axis)
(viii) The coordinates of the point M = (-3, 0) (Lies on x-axis)
(i) (-2, 4) lies in II quadrant
(ii) (3, -1) lies in IV quadrant
(iii) (-1, 0) lies on the negative x-axis
(iv) (1, 2) lies in I quadrant
(v) (-3, -5) lies in III quadrant
|Points||(-2, 8)||(-1, 7)||(0, -1.25)||(1, 3)||(3, -1)|
Let 1 unit = 1 cm, then positions of given points in the Cartesian plane are given below.