Math, asked by padmavathigopinair, 1 year ago

if the lines intersect at a point then the point gives the unique solution of two equations in this case the pair of equation is what

Answers

Answered by amitnrw
0

if the lines intersect at a point then the point gives the unique solution of two equations in this case the pair of equation is Consistent

Step-by-step explanation:

pair of linear equation

Consistent       if  unique solution or infinite solution

pair of linear equation

Inconsistent   if  no solution  

a₁x  + b₁y   + c₁ = 0

a₂x  + b₂y  + c₂  = 0

if a₁ /a₂   ≠   b₁/b₂       Consistent & unique solution    (Intersecting lines)

a₁ /a₂   =   b₁/b₂    ≠   c₁/c₂   Inconsistent  having no solution ( Parallel lines )

a₁ /a₂   =   b₁/b₂    =   c₁/c₂   Consistent  having infinite solution ( coinciding lines )

if the lines intersect at a point then the point gives the unique solution of two equations in this case the pair of equation is Consistent

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