Math, asked by kartiksha826, 30 days ago

e)For pair of linear equations in two variables write the conditions for unique, infinitely many and

no solution​

Answers

Answered by manupatankar
1

Step-by-step explanation:

If then the pair of linear equations has exactly one solution.

If then the pair of linear equations has infinitely many solutions.

If then the pair of linear equations has no solution.

S. No.

Pair of lines

a1/a2

b1/b2

c1/c2

Compare the ratios

Graphical representation

Algebraic interpretation

1

a1x + b1y + c1 = 0

a2x + b2y + c2 = 0

a1/a2

b1/ b2

c1/c2

a1 / a2 ≠ b1 / b2

Intersecting lines

Unique solution (Exactly one solution)

2

a1x + b1y + c1 = 0

a2x + b2y + c2 = 0

a1/ 2

b1/b2

c1/c2

a1/ a2 = b1 / b2 = c1 / c2

Coincident lines

Infinitely many solutions

3

a1x + b1y + c1 = 0

a2x + b2y + c2 = 0

a1/a2

b1/ b2

c1 / c2

a1 / a2= b1 / b2 ≠ c1 / c2

Parallel lines

Similar questions