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You are asking for Last Month Preparation, So I will list out only main topics here. These are as follows:
Mathematics:
General Things about Parabola, Ellipse, Hyperbola
Basics of Limits (for ex.: Lt((Sin x)/x) for x -> 0 is 1)
Integration Formulas
Binomial Expansions
Permutation And Combination
Probability
Inverse Trigonometric Functions
Chemistry
Chemical Equilibrium
Chemical Kinetics
Solid State
Chemical Bonding
Metallurgy
s block elements
Basic Nomenclature
Grignard Reagent
SN1, SN2 Reactions (Reactivity, Stability Orders of Organic Compounds)
Carboxylic Acids and Their Reactions
Biomolecules & Polymers
Physics
Basics of Kinematics
Rigid Body Dynamics (+ Centre of Mass)
Current Electricity (+ Capacitance)
Geometrical Optics
Modern Physics
Logic Gates (for JEE Mains especially)
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