Coordinate Geometry

Exercise 3.2

Question 1: Write the answer of each of the following questions:

(a) What is the name of the horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane?

Answer: x-axis and y-axis

(b) What is the name of each part of the plane formed by these two lines?

Answer: Quadrant

(c) Write the name of the point where these two lines intersect.

Answer: Origin


Question 2: See the given figure and write the following:

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

Answer: (a) (-5, 2), (b) (5,-5), (c) E, (d) G, (e) 6, (f) -3, (g) (0, 5), (h) (-3, 0)


Exercise 3.3

Question 1: 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.

Answer: (-2, 4) quadrant II, (3, -1) quadrant IV, (-1,0) on x-axis and (-3, -5) quadrant III

Question 2: Plot the points (x, y) given in the following table on the plane, choosing suitable units of distance on the axes.

x-2-1 013
y87 -1.253-1

Answer:

coordinates of points

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