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: Graphical Method of Solving Simultaneous Linear Equations
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Each linear equation represents a straight line.
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Find ordered pairs and plot both lines on the same graph.
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The point of intersection gives the solution.
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Intersecting lines → one solution
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Parallel lines → no solution
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Coincident lines → infinitely many solutions
