# NCERT Class 9 Solutions: Coordinate Geometry (Chapter 3) Exercise 3.2 – Part 1 (For CBSE, ICSE, IAS, NET, NRA 2023)

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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:

- 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:

- 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.

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