Key Points
Key Points: Graphical Method
| Condition | Nature of Lines | Number of Solutions | Type of Pair |
|---|---|---|---|
| \[\frac{a_1}{a_2}\neq\frac{b_1}{b_2}\] | Intersecting | One (unique) solution | Consistent |
| \[\frac{a_1}{a_2}=\frac{b_1}{b_2}\neq\frac{c_1}{c_2}\] | Parallel | No solution | Inconsistent |
| \[\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}\] | Coincident | Infinitely many solutions | Dependent (consistent) |
