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Videos & Materials
Permutation & Combination
Geometrical representation of a complex number
Algebra of complex number
Conjugate & Modulus of Complex Number
Argument of Complex Number
Cartesian Form/Algebraic Form
Trigonometric Form / Polar Form, Exponential Form
Properties of modulus of complex Numbers
Rotation of a Complex Number
Relation between roots and coefficient of quadratic equation
Different graphs of Quadratic Expression
Nature of roots, Formation of quadratic equation
Condition of common roots
Maximum and minimum value of Quadratic Expression
General second degree in x and y
Location of roots - Part I
Location of roots - Part II
Arithmetico-geometric series
"Splitting the nth term as a difference of two"
Definition, Types of Matrices
Trace of matrix, Multiplication of matrix
Symmetric and Skew Symmetric Matrices
Inverse of matrix and their properties
System of Linear Equations
Cayley - Hamilton Theorem
Basic Trigonometric identities
Trigonometric functions of allied angles
Trigonometric functions of sum or difference of two angles
Factorization of the sum or difference of two sines or cosines
Transformation of products into difference of sines & cosines
Half angles, three angles
Max. & Min. Value of trigo .functions
Continued product of cosine series
Conditional Trigonometric Identities
Sum of sines or cosines of n angles
Summation of Miscellaneous Series-1
Summation of Miscellaneous Series-2
Statement, Logical connectives
Truth table, Logical equivalence
Tautology and contradiction
Converse, Inverse and Contrapositive of the Conditional Statement
Fundamental principle of Counting
Permutation and Combination
Permutation of Alike objects
Principle of inclusion and exclusion
Problems based on number theory
Distribution of alike objects( Beggar method)
Binomial Expansion and General Term
Term Independent of x , Middle Term
Binomial coefficients , Product Of Two Binomial
"To find Greatest Term Binomial theorem for any index"
Application of binomial theorem
General solution of Trigonometric Equation
Types of Trigonometric Equations
Solving equations with graph
Trigonometric inequalities
System of trigonometric Equations
Congruence of Triangles, Sine rule
Napier’s Formula, Cosine Formula, Projection Formula
HALF angle Formulas,‘m – n’ Theorem
Incircle of a triangle, Radii Of The Escribed Circles
Distance between special points, Ambiguous cases
Expansion of a Determinant
Properties of Determinants
Product of two determinants
System of linear equations
Introduction, Distance formula
Locus, Equation of a straight line in various forms
Reflection of a point about a line
Length of perpendicular from a point on a line
Angle between two straight lines
Position of Point w.r.t a line, Condition of concurrency
Condition of collinearity of three points
Rotation of Co-ordinate system
Bisectors of the angles between two lines
Equation of a circle in various form
Intercepts made by a circle on the axes
Position of point w.r.t. a circle, Line & a circle
Family of Circles ,Radical Axis
Definition of various terms related to a conic, Parabola
Standard Equation of a parabola
Equation of Tangents and Properties
Equation of Normal and Properties
Diameter, Chord of Contact
Chord Bisected and Product of Pair of Tangents
Equation of Tangent and Normal
Equation of Chord of Contact, Director circle
Chord Bisected at a Given Point and diameter
Properties of the ellipse
Terms related to hyperbola
Position of a point with respect to hyperbola
Equation of Tangent and Normal
Equation of Chord of Contact, Chord Bisected Diameter
Asymptote and Rectangular Hyperbola
Multiplication of vector by scalars
Vector equation of a line
Collinearity of three point
Scalar product of two vectors
Vector product of two vectors
Shortest distance between two lines
Direction cosines, Direction ratios
Angle between two lines, Planes
Angle between planes, Angle between a line and a plane
Domain, Co-domain and Range of function
Important types of function
Equal & Identical function
Basic Transformation on graph
Classification of functions
Implicit and Explicit Function
Even and odd ,Periodic function
Introduction, Domain and range of ITF
Simplification & Transformation of ITF
Inequations involving ITF, Summation of series
Definition of Limit, Indeterminant form
Fundamental Theorems on Limits
Methods to Evaluate Limit, Standard Limits
Evaluation of Trigonometric limits
Limits of the Various Form
L'hospital's rule for evaluating limits
Limit using series expansion
Continuity in an interval
Removable and non-Removable type of discontinuities
Intermediate value theorem
Continuity of special types of function
Existence of Derivative at x = a
Theorem of differentiability
Vertical tangent, Geometrical interpretation
Derivability over An Interval
Differentiability by differentiation
Definition, Derivative of f(x) from the first Principle
Inverse functions and their derivatives
Logarithmic, Implicit, Parametric differentiation
Derivatives of order two & three
Integration as anti-derivative
Integration of trigonometric function
Definite integral as a limit of sum
Integration of Irrational Function and Partial Fraction
Properties of Definite Integral
Periodicity of Integral Functions
Gamma Function and Derivative of Definite Integration
Estimation of definite integral
Equation of Tangent & Normal
Angle of Intersection of Two curves
Length of Tangent, subtangent, normal and subnormal, Rate Measure, Approximation
Monotonicity in an interval
Increasing and decreasing function
Greatest and least value of function
Rolle's Theorem, LMVT Theorem
Test for local maximum / minimum, when f(x) is differentiable
Concept of global maximum/minimum
Problems on shortest distance bw two curves
Order and Degree of Differential Equation
General and Particular solutions
Linear Differential Equations
Area Based on Geometrical Figures
Area Based on Geometrical Figures Area Using Integration
Different cases of bounded area
Standard area to remembered, Shifting origin
Area bounded by inverse of a function
