Topics
Real Numbers
Number Systems
Algebra
Polynomials
Coordinate Geometry
Pair of Linear Equations in Two Variables
- Pair of Linear Equations in Two Variables
- Graphical Method with Different Cases of Solution
- Algebraic Methods of Solving a Pair of Linear Equations
- Substitution Method
- Elimination Method
Geometry
Quadratic Equations
Trigonometry
Arithmetic Progressions
Mensuration
Coordinate Geometry
Statistics and Probability
Triangles
Circles
Introduction to Trigonometry
Heights and Distances
- Angles of Elevation and Depression
- Problems based on Elevation and Depression
Areas Related to Circles
Surface Areas and Volumes
Statistics
Probability
CBSE: Class 10
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) |
