Ex - 4.4
Question 1. Give the geometric representation of y = 3 as an equation
(i) in one variable
(ii) in two variables
(2) in two variables
Question 1. Give the geometric representation of y = 3 as an equation
(i) in one variable
(ii) in two variables
Solution
In 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. As it is a collection of all points of plane which are having their y coordinate as 3
In two variables y = 3 represents a straight line passing through point (0, 3) and parallel to x axis. As it is a collection of all points of plane which are 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
Solution
(1) In one variable 2x + 9 = 0 represents a point as shown in following figure.
(2) In two variables 2x + 9 = 0 represents a straight line passing through point (- 4.5, 0) and parallel to y axis. As it is a collection of all points of plane, having their x coordinate as 4.5.
(2) In two variables 2x + 9 = 0 represents a straight line passing through point (- 4.5, 0) and parallel to y axis. As it is a collection of all points of plane, having their x coordinate as 4.5.
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