Important Questions & Solutions for CBSE Class 9 Chapter 3 (Coordinate Geometry TEST)
1. Write the coordinates of each of the points P, Q, R, S, T and O from the figure given.
Q.2: Plot the following points and check whether they are collinear or not:
(i) (1, 3), (– 1, – 1), (– 2, – 3)
(ii) (1, 1), (2, – 3), (– 1, – 2)
(iii) (0, 0), (2, 2), (5, 5)
Q.3: Without plotting the points indicate the quadrant in which they will lie, if
(i) the ordinate is 5 and abscissa is – 3
(ii) the abscissa is – 5 and ordinate is – 3
(iii) the abscissa is – 5 and ordinate is 3
(iv) the ordinate is 5 and abscissa is 3
Q.4: 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.
Q.5: Plot the points (x, y) given in the following table on the plane, choosing suitable units of distance on the axes.
| x | -2 | -1 | 0 | 1 | 3 |
| y | 8 | 7 | -1.25 | 3 | -1 |
Q.6: Write the answer to each of the following questions:
(i) What is the name of the horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane?
(ii) What is the name of each part of the plane formed by these two lines?
(iii) Write the name of the point where these two lines intersect
6. Points A (5, 3), B (–2, 3) and D (5, –4) are three vertices of a square ABCD. Plot these points on a graph paper and hence find the coordinates of the vertex C.
7. Write the coordinates of the vertices of a rectangle whose length and breadth are 5 and 3 units respectively, one vertex is at the origin, the longer side lies on the x-axis, and one of the vertices lies in the third quadrant.
8. Plot the points (x, y) given by the following table:
| x | 2 | 4 | -3 | -2 |
| y | 4 | 2 | 0 | 5 |
8. Plot the following points and write the name of the figure obtained by joining them in order:
P(– 3, 2), Q (– 7, – 3), R (6, – 3), S (2, 2)
9. Locate the points (5, 0), (0, 5), (2, 5), (5, 2), (–3, 5), (–3, –5), (5, –3) and (6, 1) in the Cartesian plane.
10. Solve these following equations:
(i) 3x + 3 = 15
(ii) 2y + 7 =19
Coordinate Geometry