## MP Board Class 9th Maths Solutions Chapter 3 Coordinate Geometry Ex 3.2

Question 1.

Write the answer of each of the following questions:

- What is the name of horizontal and the vertical lines 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 x – axis and the y – axis.
- Quadrants.
- The origin.

Question 2.

See figure and write the following:

- The coordinates of B.
- The coordinates of C.
- The point identified by the coordinates (-3, -5)
- The point identified by the coordinates (2, -4).
- The abscissa of the point D.
- The ordinate of the point H.
- The coordinates of the point L.
- The coordinates of the point M.

Solution:

- B → (- 5, 2 )
- C → 4 (5, – 5 )
- E
- G
- 6
- – 3
- L → (0, 5 )
- M → (-3, 0 )

Question 3.

In which quadrant or on which axis do each of the points (-2, 4), (3, -1), (-1, 0), (1, 2) and (-3, -5) lie? Verify your answer by locating them on the Cartesian plane.

Solution:

- The point (-2, 4) lies in the II quadrant.
- The point (3, -1) lies in the IV quadrant.
- The point (-1, 0) lies on the negative x-axis.
- The point (1, 2) lies in the I quadrant.
- The point (-3, -5) lies in the III quadrant.

Question 4.

Plot the points (x, y) given in the following table on the plane, choosing suitable units of distance on the axes.

Solution:

Plotting of points on Graph Paper:

Steps:

- Draw a horizontal and vertical line mutually perpendicular to each other.
- Mark the point of inter section of two lines as ‘O’. This represent origin and horizontal line XOX’ vertical line as YOY’.
- The line XOX’ will show X – axis and vertical line YOY’ will Y – axis.
- Choose a suitable scale and marks the points on X – axis and Y – axis.
- Obtain the coordinates of the given point and mark point.