Question

When lines l1 and l2 are coincident, the the graphical solution system of linear equation have?

Answer 1

L1 and l2 are coincident the system will have infinity many solutions.

Answer 2

Given :  Lines l1 and l2 are coincident,  

To Find :  the graphical solution system of linear equation have

(a) infinite number of solutions (b) unique solution (c) no solution (d) one solution​

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)

when  line coincide each other , infinite solutions  are there

as  Lines l1 and l2 are coincident,  

on the graph both represents  the same line

as a line have infinite many points .  

so all those points are  the solutions

Therefore, correct option is a) infinite number of solutions

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