Question

Describe the location of the point that has the following coordinates: negative abscissa, zero ordinate

a. between Quadrant III and Quadrant IV
b. between Quadrant II and Quadrant IV
c. between Quadrant I and Quadrant IV
d. between Quadrant II and Quadrant III

Answer 1

Answer: The correct location of the point is (d) between Quadrant II and Quadrant III.

Step-by-step explanation: We are given to select the correct option that describe the location of the point that has the coordinates with negative abscissa and zero ordinate.

On the two dimensional co-ordinate plane (XY - plane), any point with negative abscissa and zero ordinate can be written as

(x, y) = (-a, 0), where a>0.

For example, let us plot (-1, 0), (-2, 0), (-3, 0), etc. on the co-ordinate plane. This is shown in the attached figure.

We notice from the figure that all the points of the form (-a, 0) lie on the negative X-axis.

We know that the negative X-axis lies between Quadrant II and Quadrant III. So, the location of the given point is between Quadrant II and Quadrant III.

Thus, (d) is the correct option.

Answer 2

The cartesian plane is composed of four quadrants: quadrant I, II, III and IV. Quadrant I has positive x and y axes. Quadrant II has negative x axis and y axis. Quadrant III has both negative x and y axes while quadrant IV has positive x axis and negative y axis. x value refers to the abscissa while y value refers to ordinate. Answer hence is D