Give the geometrical representation of 3x 12=0 as an equation in i one variable ii two variable

Linear Equations in Two Variables

i) 3x+12= 0

x= -12/3

x = -4

Plot -4 on the no.line

ii) 3x+0y+12=0

(4,0) (4,1) are solutions for the eqn. whatever value you take for y the value of x remains contant. Therefore line passing through the point (4,0) is the line is parallel to y axis.

i guess u get in the oswaal math text book

3x+12=0

x=-4

3x+12=y

x=1 then y=15

Last updated at July 11, 2020 by

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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.

☛ Related Questions:

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Give geometrical representation of equation 3 x+12=0 in1 one variable 2two variables

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