Checj whether the great of the pair of linear equations x+2y - 4 = 0 and 2x + 4y - 12 = 0 is intersecting lines or parallel lines or coincident lines.
Answers
Given pair of Linear Equations are:
x +2y - 4 =0 ……………….(1)
2x +4y -12 = 0…………….(2)
A pair of linear equations in two variables will be represented by two straight lines taken together.
For two lines in a plane following three possibilities can happen:
1.The two lines representing a pair of linear equations will intersect at a point.
2. The two lines representing a pair of linear equations will not intersect or they are parallel to each other.
3. The two lines representing a parallel equations in two variables will be coincident they overlap each other.
•In order to represent the above pair of linear equation graphically we need two points on the line representing each equation.
• Prepare the proper table of at least 2 solutions for both the equations.
•Draw the graph of both the question on the same graph paper with same scale of representation.
a2= 2
b1= 2
b2= 4
c1= (-4)
c2= (-12)
use
a1/a2= 1/2
b1/b2= 2/4=1/2
c1/c2= (-4)/(-12)=1/3
a1/a2=b1/b2not equal to c1/c2
since lines are parallel