Tuesday, July 27, 2010

Exercise 3.3


Question 1:
In which quadrant or on which axis do each of the points and lie? Verify your answer by locating them on the Cartesian plane.
Ans.


The point lies in the IInd quadrant in the Cartesian plane because for pointx-coordinate is negative and y-coordinate is positive.
Again, the point lies in the IVth quadrant in the Cartesian plane because for pointx-coordinate is positive and y-coordinate is negative.
The point lies on negative x-axis because for point , the value of y-coordinate is zero and the value of x-coordinate is negative.
The point lies in the Ist quadrant as for point , both x and y are positive.
The point  lies in the IIIrd quadrant in the Cartesian plane because for point , both x and y are negative.

Question 2:
Plot the point (xy) given in the following table on the plane, choosing suitable units of distance on the axis.
x
− 2
− 1
0
1
3
y
8
7
1.25  
3
− 1 
 
Ans.
The given points can be plotted on the Cartesian plane as follows.