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Crack Aptitude
Algebra and Geometry
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Linear Equation - Common Roots - Solution of Inequations - Polynomial Equation - Roots of an Equation - Mixed Problems on AP, GP and HP - Harmonic Progression - Geometric Progression - Arithmetic Progression - Mixed Problems on Permutations & Combinations - Combinations - Circular Permutations - Permutations Under Certain Conditions - Fundamental Principle of Addition - Fundamental Principle of Multiplication - Factorial - Baye's Rule - Independent Events - Multiplication theorems on probability - Conditional Probability - Addition theorems on probability - Sample Space - Solution of a Homogeneous System of Linear Equations - Rank of a matrix - Inverse of a matrix - Adjoint of a Square Matrix - Transpose of a Matrix - Multiplication of Matrices - Algebra of Matrices - Types of Matrices - Ellipse - Parabola - Cartesian Systems - The Circle - Parabola - The Circle - Cartesian System - Determinants, Matrices - Scalars & Vectors - Logarithm - Theorems - Triangles - Introduction to Angles - Types of Sets - Unions, Intersections, Complements - Finding Midpoint and Distance between two points - Equations of Lines - How to find slope? - Perimeter - Area - Introduction to Mensuration - Geometric Progression - Types of Progressions - Arithmetic Progression - Binomial Distribution - Binomial Theorem - Probability - Combinations - Permutations - Probability using Combinations - Vectors - Linear Algebra - Normal form - Polar Form - General form - Algebraic equation - Factorization - Coefficient - Polynomial equation - Arithmetic mean - Geometric Mean - Harmonic mean - Quantities - Expressions - Polynomial - Combinatorics - Group theory - Algebra - Random Variables and Probability Distribution Function - Statistics - Event - Euclidean geometry - Analytic geometry - Euler diagrams - Venn diagrams - Introduction to Sets - Coordinates - Integral calculus - Physical measurements - Algebraic equations - The process of measurement - Geometry
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