I) For the points lying on the line parallel to y-axis, their distances from y-axis are same i.e. It is clear that points A, B and C on a line parallel to y-axis are equidistant from y-axis. Ii) Any point on a line parallel to x-axis is of the form (x, b), where ‘b’ is the distance between the point and x-axis. In the above diagram, y coordinate of all the point is b. I) For the points lying on the line parallel to x-axis, their distances from x-axis are same i.e. It is clear that points A, B and C on a line parallel to x-axis and are equidistant from x-axis I) Any point on the bisector of x and y axes through II and IV quadrants are of the form (– a, a) and (a, a) respectively. I) Any point on the bisector of x and y axes through I and III quadrants are of the form (a, a) and (–a,–a) respectively. The point ‘A’ is equidistant from x & y axes.Īll the points on the bisector have their x coordinates = y coordinates. It is clear that point ‘A’ lies on the bisector of x & y axes. In general, any point on y-axis represented as (0, ±b) where ‘b’ is the distance between the point and x-axis, as shown in the adjacent figure. It is clear that the distance from the points A, B, C, D, E, F to y-axis is gradually decreasing.įinally, the point ‘F’ is on the y-axis i.e., its distance from y-axis becomes zero.Ī point which is on y-axis and whose x co-ordinate is zero is called “a point on y-axis”. In general, any point on x-axis is represented as (± a, 0) where ‘a’ is the distance between the point and y-axis as shown below. I.e., its distance from x-axis becomes zero.Ī point which is on x-axis and whose y co-ordinate is zero is called “ a point on x-axis”. It is clear that the distance from the points A, B, C, D, E, F to x-axis is gradually decreasing. Plotting a Point in the Plane if its Coordinates are given X and y axes divide the plane into four quadrants and each axis has two directions.ģ.3. Note: y coordinate is also called ordinate. In the above diagram the distance between x-axis and the point p in the direction of y-axis is AP. It is the distance between x-axis and the point ‘P’ which is measured in direction y-axis. Note: x coordinate is also called abscissa. In the adjacent diagram, the distance between y-axis and the point p in the direction of x-axis is BP. It is the distance between y-axis and the point ‘P’ which is measured in the direction of x-axis. If these two axes of reference cut each other at right angles, they are called rectangular axes. Their point of intersection is called the origin of coordinates. The position of a point in a plane is determined with reference to the intersecting straight lines called coordinate axes. The point of intersection of these lines is called the origin ‘O’, as shown These two lines together are called the coordinate axes. The horizontal line is called the x-axis and the vertical line is called the y-axis. Here we represent any point in a plane by its distances from two fixed perpendicular lines. Coordinate geometry is a method of studying geometry with the help of Algebra.
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