Added By: Mohit Bhardwaj |
Created at: 16 Mar 2025 |
Updated on: 16 Mar 2025 |
Category: Mathmatics |
Status: Published |
ID: #14
| UNIT I: NUMBER SYSTEMS |
| Real Numbers (15 Periods) |
- Fundamental Theorem of Arithmetic - statements with examples
- Proofs of irrationality
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| UNIT II: ALGEBRA |
| Polynomials (8 Periods) |
- Zeros of a polynomial
- Relationship between zeros and coefficients of quadratic polynomials
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| Pair of Linear Equations in Two Variables (15 Periods) |
- Graphical method of solution, consistency/inconsistency
- Algebraic conditions for the number of solutions
- Solution using substitution and elimination methods
- Simple situational problems
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| Quadratic Equations (15 Periods) |
- Standard form: ax² + bx + c = 0, (a ≠ 0)
- Solutions by factorization and quadratic formula
- Discriminant and nature of roots
- Situational problems related to real-life applications
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| Arithmetic Progressions (10 Periods) |
- Motivation for studying Arithmetic Progressions
- Derivation of nth term and sum of first n terms
- Application in solving daily life problems
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| UNIT III: COORDINATE GEOMETRY |
| Coordinate Geometry (15 Periods) |
- Concepts of coordinate geometry
- Graphs of linear equations
- Distance formula
- Section formula (internal division)
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