Mathematics Short Tricks for JEE (Main) (Volume-I)
Trignometry
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Trignometric Functions,Ratios and Identities:-
Methods of substitutions, Methods of balancing.
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Trignometric Equations:-
Methods of substitutions, Methods of balancing.
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Properties and Solutions of Triangles:-
Triangles, Methods of substitutions, Methods of balancing.
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Inverse Trigonometric Functions:-
Methods of substitutions, Methods of balancing.
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Heights and Distances:-
Master Figures.
Algebra
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Complex number :-
Methods of substitutions, Methods of balancing.
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Quadratic Equations and Inequations :-
Master Quadratic equation,Methods of substitutions, Methods of balancing.
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Sequences and Series :-
Master A.P.,G.P. and H.P,Methods of substitutions, Methods of balancing.
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Binomial Theorems :-
Master Binomial Expressions,Methods of substitutions, Methods of balancing.
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Determinants and Matrices:-
Methods of substitutions, Methods of balancing.
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Determinants and Matrices:-
Master concepts.
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Probability :-
Master concepts.
Two Dimensional Geometry
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Coordinates of a point in a plane and its locus:-
Methods of substitutions, Methods of balancing.
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The straight lines:-
Methods of substitutions, Methods of balancing.
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The circle and system of circles:-
Methods of substitutions, Methods of balancing.
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Conic sections :-
Methods of substitutions, Methods of balancing.
Mathematics Short Tricks for JEE (Main) (Volume-II)
Three Dimensional Geometry
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Three Dimensional Geometry :-
The Point in the space,
The Straight lines in the space,
The Plane,
The lines and the planes,
Questions and solutions.
Vectors
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Vectors and their applications in 3D :-
The Scalar and Vector quantities,
Vector Products,
Triple Products,
Applications of Vectors in 3D,
Questions and Solutions.
Complete Calculas
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Functions,Limits,Continuity and Differentiability:-
Functions and their graphs,
Limits,
Continuity and Differentiability.
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Methods Of Differentiations (M.O.D.) :-
Higher order derivatives,Differentiation of Implicit functions
Differentiation infinite series,
Logarithmic differentiation,
Differentiation of Parametric functions,
Derivative of inverse of a function.
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Applications of derivatives :-
Rate Measure, Increasing and Decreasing functions, Maxima and Minima of a function, Rolle and Langrange Theorems, Tangents and Normals.
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Indefinite Integrals :-
Cancellation Laws, Methods of balancing.
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Definite Integrals:-
Master Quadratic equation,Methods of substitutions, Methods of balancing.
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Applications of Definite Integrals :-
To find area bounded by curves,Differential equations.