The graph of every linear equation in two variables need not be a line.
Text Solution
AI Generated Solution
To determine whether the statement "The graph of every linear equation in two variables need not be a line" is true or false, we can analyze the properties of linear equations in two variables.
### Step-by-Step Solution:
1. **Understanding Linear Equations**:
A linear equation in two variables can be expressed in the standard form:
\[
ax + by + c = 0
...
Every point on the graph of a linear equation in two variables does not represent a solution of the linear equation.
If a pair of linear equations in two variables is consistent, then the lines represented by two equations are
If a pair of linear equations in two variables is consistent, then the lines represented by two equations are (a) intersecting (b) parallel (c) always coincident (d) intersecting or coincident
The graph of the linear equation 2x-y=4 cuts x-axis at
The equation x=7, in two variables can be written as
Draw the graph of each of the following linear equations in two variables: -x+y=6 (ii) y=2x
Draw the graph of each of the following linear equations in two variables: (x-2)/3=y-3 (ii) 2y=-x+1
Draw the graph of each of the following linear equations in two variables: 3x+5y=15 (ii) x/2-y/3=2
Draw the graph of each of the following linear equations in two variables: (i) x+y=4 (ii) x-y=2 (iii) y=3x (iv) 3=2x+y
Draw the graph of each of the following linear equations in two variables:(i) x+y=4 (ii) x-y=2 (iii) y=3x (iv) 3=2x+y
NCERT EXEMPLAR ENGLISH-LINEAR EQUATION IN TWO VARIABLES-Exercise 4.8
