Mathematics-12
Revision Notes
ChapterWise important notes avaliable here
ChapterWise important notes avaliable here
1. Relations type
2. Invertible functions
3. Composite of two functions
1. Inverse Trigonometric functions properties
1. Matrices Multiplication
2. Properties of Symmetric and Skew Symmetric
3. Finding a matrices inverses using elementary transformation
1. Determinants Properties
2. Matrix inverse and Adjoint of linear equations solutions
1. Continuity
2. Second-order derivatives
3. Logarithmic Differentiation
4. The parametric form of functions -Differentiation
1. Rate of change
2. Tangents and Normal to Curves
4. Increasing and decreasing functions
5. Finding Local maxima and minima using first and second-order test
1. Integration Methods
2. Substitution
3. Partial Fractions Parts
4. Properties of Definite Integrals
5. Definite Integral as Limit of a sum
1. Area under curves
2. The area bounded by two Curves
3. The area bounded by a curve and a line
1. Differential equation Formation
2. Linear differential equation
3. Solving Differential Equation with variable separable methods
4. Homogeneous Differential Equation
1. Scalar Product of Vectors
2. Projection of Vectors on a line
3. Vector Product of Vectors
1. Direction Cosines
2. Direction Ratio of line
3. Line Equation
4. The angle between two lines
5. Coplanarity of line
6. The shortest distance between two skew lines
7. The angle between 2 planes
8. The distance of a point from a plane
9. The angle between a line and a plane
10. Equation of plane in normal form
11. Equation of plane perpendicular to the provided vector and it passes through a given point
12. Equation of plane passing through the three non-collinear points
13. The plane passing through the intersection of two planes
1. Linear programming problems Graphical Solution
1. Probability Multiplication theorem
2. Independent Events
3. Bayes’ Theorem
4. Binomial Distribution
5. Random Variable and its probability distribution
6. Mean and Variance of Random Variable