Thursday, July 29, 2010

Exercise 4.4


Question 1:
Give the geometric representation of y = 3 as an equation
(I) in one variable
(II) in two variables

Ans.
n one variable, y = 3 represents a point as shown in following figure.
In two variables, y = 3 represents a straight line passing through point (0, 3) and parallel to x-axis. It is a collection of all points of the plane, having their y-coordinate as 3.


Question 2:
Give the geometric representations of 2x + 9 = 0 as an equation
(1) in one variable
(2) in two variables

Ans.
(1) In one variable, 2x + 9 = 0 represents a point as shown in the following figure.
(2) In two variables, 2x + 9 = 0 represents a straight line passing through point 
(−4.5, 0) and parallel to y-axis. It is a collection of all points of the plane, having their x-coordinate as 4.5.