the lines representing the equations a1x+b1y+c1=0 and a2x+b2y+c2=0 is as shown in the fig.write the mathematical relation among a1,a2,b1,b2,c1,and c2 About the author Mackenzie
Given : the lines representing the equations a1x+b1y+c1=0 and a2x+b2y+c2=0 To Find : the mathematical relation among a1,a2,b1,b2,c1,and c2 Solution: Pair of linear equations a₁x + b₁y + c₁ = 0 a₂x + b₂y + c₂ = 0 Consistent if a₁/a₂ ≠ b₁/b₂ (unique solution and lines intersects each others) a₁/a₂ = b₁/b₂ = c₁/c₂ (infinite solutions and line coincide each other ) Inconsistent if a₁/a₂ = b₁/b₂ ≠ c₁/c₂ ( No solution , lines are parallel to each other) As fig is missing : answer will depend upon figure If Lines are intersecting then : a₁/a₂ ≠ b₁/b₂ If Lines are parallel then : a₁/a₂ = b₁/b₂ ≠ c₁/c₂ If lines are coincident then a₁/a₂ = b₁/b₂ = c₁/c₂ Learn More Write the condition for which the pair of liner equations a1x + b1y + … brainly.in/question/17716893 Graph:1. Check whether the pair of equations 4x – 6y – 15 = 0 and 2x … brainly.in/question/12811012 if the pair of linear equations 2x+5y=7 and 4x+3y=b is consistent the … brainly.in/question/14932663 Reply
[tex]\underline{\overline{\mid\star\:{\orange{Answer}}\:\star\mid}}[/tex] Pair of linear equations a₁x + b₁y + c₁ = 0 a₂x + b₂y + c₂ = 0 Consistent if a₁/a₂ ≠ b₁/b₂ (unique solution and lines intersects each others) a₁/a₂ = b₁/b₂ = c₁/c₂ (infinite solutions and line coincide each other ) Inconsistent if a₁/a₂ = b₁/b₂ ≠ c₁/c₂ ( No solution , lines are parallel to each other) As fig is missing : answer will depend upon figure If Lines are intersecting then : a₁/a₂ ≠ b₁/b₂ If Lines are parallel then : a₁/a₂ = b₁/b₂ ≠ c₁/c₂ If lines are coincident then a₁/a₂ = b₁/b₂ = c₁/c₂ Reply
Given : the lines representing the equations a1x+b1y+c1=0 and a2x+b2y+c2=0
To Find : the mathematical relation among a1,a2,b1,b2,c1,and c2
Solution:
Pair of linear equations
a₁x + b₁y + c₁ = 0
a₂x + b₂y + c₂ = 0
Consistent
if a₁/a₂ ≠ b₁/b₂ (unique solution and lines intersects each others)
a₁/a₂ = b₁/b₂ = c₁/c₂ (infinite solutions and line coincide each other )
Inconsistent
if a₁/a₂ = b₁/b₂ ≠ c₁/c₂ ( No solution , lines are parallel to each other)
As fig is missing : answer will depend upon figure
If Lines are intersecting then :
a₁/a₂ ≠ b₁/b₂
If Lines are parallel then :
a₁/a₂ = b₁/b₂ ≠ c₁/c₂
If lines are coincident then
a₁/a₂ = b₁/b₂ = c₁/c₂
Learn More
Write the condition for which the pair of liner equations a1x + b1y + …
brainly.in/question/17716893
Graph:1. Check whether the pair of equations 4x – 6y – 15 = 0 and 2x …
brainly.in/question/12811012
if the pair of linear equations 2x+5y=7 and 4x+3y=b is consistent the …
brainly.in/question/14932663
[tex]\underline{\overline{\mid\star\:{\orange{Answer}}\:\star\mid}}[/tex]
Pair of linear equations
a₁x + b₁y + c₁ = 0
a₂x + b₂y + c₂ = 0
Consistent
if a₁/a₂ ≠ b₁/b₂ (unique solution and lines intersects each others)
a₁/a₂ = b₁/b₂ = c₁/c₂ (infinite solutions and line coincide each other )
Inconsistent
if a₁/a₂ = b₁/b₂ ≠ c₁/c₂ ( No solution , lines are parallel to each other)
As fig is missing : answer will depend upon figure
If Lines are intersecting then :
a₁/a₂ ≠ b₁/b₂
If Lines are parallel then :
a₁/a₂ = b₁/b₂ ≠ c₁/c₂
If lines are coincident then
a₁/a₂ = b₁/b₂ = c₁/c₂