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 2

*x*+ 9 = 0 as an equation(1) in one variable

(2) in two variables

Ans.

(1) In one variable, 2

*x*+ 9 = 0 represents a point as shown in the following figure.(2) In two variables, 2

(−4.5, 0) and parallel to

*x*+ 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.