NCERT Class 9 Solutions: Coordinate Geometry (Chapter 3) Exercise 3.2 – Part 1
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Give Coordinate Geometry
The definition of coordinate geometry is the study of algebraic equations on graphs. An example application of coordinate geometry is plotting points, lines and curves on a coordinate place with x and y axis.
Q-1 Write the answer of each of the following question:
What is the name of horizontal and vertical line drawn to determine the position of any point in the Cartesian plane?
What is the name of each part of the plane formed by these two lines?
Write the name of the point where these two lines intersect.
Solution:
Image of a Cartisian Plane
The name of horizontal lines and vertical lines drawn to determine the position of any point in the Cartesian plane is x-axis and y axis respectively.
The name of each part of the plane formed by these two lines x-axis and y-axis is called as quadrants (one fourth part)
Name of the point where there two lines intersect is called as origin.
Q-2 See Fig. and write the following:
Give X-Axis and Y-Axis
The coordinates of B.
The coordinates of C.
The point identified by the coordinates
The point identified by the coordinates.
The abscissa of the point D.
The ordinate of the point H.
The coordinate of the point L.
The coordinate of the point M.
Solution:
The x-coordinate and the y-coordinate of point B are −5 and 2 respectively.
Therefore, the coordinates of point B are
The x-coordinate and the y-coordinate of point C are 5 and −5 respectively.
Therefore, the coordinates of point C are
The point whose x-coordinate and y-coordinate are −3 and −5 respectively is point E.
The point whose x-coordinate and y-coordinate are 2 and −4 respectively is point G.
The x-coordinate of point D is 6.
Abscissa and Ordinate
Therefore, the abscissa of point D is 6. Abscissa is the distance of the point to a point to the vertical or y -axis, measured parallel to the horizontal or x –axis. That is it is the x -coordinate.
The y-coordinate of point H is −3.
Therefore, the ordinate of point H is −3. Ordinate is the distance of the point to a point to the horizontal or x -axis, measured parallel to the vertical or y –axis. That is it is the y -coordinate.
The x-coordinate and the y-coordinate of point L are 0 and 5 respectively.
Therefore, the coordinates of point L are
The x-coordinate and the y-coordinate of point Mare −3 and 0 respectively.
Therefore, the coordinates of point M are