Topics
Linear Equations in Two Variables
- Foundation of Linear Equations in Two Variables
- Simultaneous Linear Equations
- Graph of a Linear Equation in Two Variables
- Methods of Solving Linear Equations in Two Variables > Graphical Method
- Methods of Solving Linear Equations in Two Variables > Determinant method (Cramer’s Rule)
- Equations Reducible to Linear Equations
- Application of Simultaneous Equations
Quadratic Equations
- Concept of Quadratic Equations
- Factorisation Method
- Completing the Square Method
- Quadratic Formula (Shreedharacharya's Rule)
- Nature of Roots of a Quadratic Equation
- Relation Between Zeroes (Roots) and Coefficients of a Quadratic Equation
- Formation of a Quadratic Equation with Given Roots
- Application of Quadratic Equation
Arithmetic Progression
- Patterns and Sequences
- Arithmetic Progression (A.P.)
- General Term (nth) of an Arithmetic Progression
- Sum of First ‘n’ Terms of an Arithmetic Progressions
- Application of an Arithmetic Progression (A.P)
Financial Planning
Probability
Statistics
Maharashtra State Board: Class 10
Key Points: Simultaneous Linear Equations
Simultaneous Linear Equations: Two linear equations solved together.
Elimination method:
- Make the coefficients equal
- Add/subtract
- Find one variable
- Substitute to get the other.
Substitution method:
- Express one variable in terms of the other,
- Substitute
- Solve
- Substitute back.
