Give the geometric representations of y = 3 as an equation
(i) in one variable
(ii) in two variables
Solution:
(i) In one variable, y = 3 represents a point as shown in the following figure.
(ii) We know that y = 3 can be written as, 0x + y = 3
In two variables, y = 3 represents a straight line passing through the point (0, 3) and parallel to the x-axis. It is a collection of all the points on the plane, having their y-coordinate as 3.
Hence,
- When, x = 0, we get y = 3
- When x = 2, we get y = 3
- When x = -2, we get y = 3
Plotting the points (0, 3) (2, 3) and (-2, 3) and on joining them we get the graph AB as a line parallel to the x-axis at a distance of 3 units above it.
The graphical representation is shown below:
☛ Check: NCERT Solutions Class 9 Maths Chapter 4
Video Solution:
Give the geometric representations of y = 3 as an equation (i) in one variable (ii) in two variables
NCERT Solutions Class 9 Maths Chapter 4 Exercise 4.4 Question 1
Summary:
In one variable, y = 3 represents a point and in two variables, y = 3 represents a straight line passing through the point (0, 3) and parallel to the x-axis.
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