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Previous JEE papers suggest that more attention should be paid to topics like Vectors and 3-D than Probability or Indefinite integration as vectors and 3-D offers very less scope to examiner, as far as variety in problem is concerned. One more chapter is Complex Number, every year two-three problems (purely complex numbers) are asked. Mastering complex numbers, vectors, 3-D and definite integral must be a priority.
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Algebra can be made easier if you have the ability to picture functions as graphs and are good at applying vertical and horizontal origin shifts carefully as zeroes of functions and other specific values can be done in much less time using these techniques.
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Differential calculus again relates well to roots of equations, especially if you use the Rolle’s and lagrange’s theorems.
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Complex numbers can be used to solve questions in co- ordinate geometry too. Trigonometric questions require applications of De Moivre’s theorem.
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Permutation- Combination& Probability is another important topic in Algebra. You need to be thorough with the basics of Bayes theorem, derangements and various ways of distribution, taking care of cases where objects are identical and when they are not.
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Matrices can be related to equations, hence a 3X3 matrix can actually be visualized as being three-planed in 3-D geometry. Determinants have some very nice properties, for instance, the ability to break them into two using a common summand from a row/column, which should be made use of.
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Integral calculus can be simplified using tricks and keeping in mind some basic varieties of integrable functions. Remembering the properties and applying them wisely saves lot of time.
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Coordinate geometry requires a good working knowledge of the parametric forms of various conic sections and an ability to convert the other, tougher ones to these basic forms and then interpret the solutions accordingly.
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Finally the only one way to do well in Mathematics is to practice problems keeping in mind the pattern of questions in previous years’ JEE papers.
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Conceptual clarity, application skills and awareness to the prescribed syllabus should be the main focus.
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Practice the most relevant numerical daily to develop speed. Pay special attention to the topics like Mole concept, Chemical Equilibrium and Electrochemistry.
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Take a careful and patient approach for Organic chemistry giving particular attention to the topics like Stereo chemistry, GOC (General Organic Chemistry) and Functional Group Analysis.
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In Inorganic chemistry most of the questions which are asked are really conceptual, concerned with structures, processes and applications. Special attention is a must to the topics like Chemical Bonding and Coordination Chemistry.
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Mechanics is one topic of Physics that is considered less scoring by most experts. However to add to the dilemma this is also the topic that forms the major portion of the JEE (Advanced) in terms of marks. So this topic cannot be neglected.
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Concentrate on other scoring topics to ensure a better performance, for example Optics, Electricity and Magnetism, etc.
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Kinematics and Particle dynamics are very important topics of Mechanics that make regular appearance in the JEE papers.
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According to the general trends, Mechanics and Electricity and Magnetism are the most important topics in terms of the number of questions asked in JEE of previous years.
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In the decreasing order of the marks they carry are listed different topics of Physics according to their appearance in previous year’s papers.
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Mechanics and Electricity and Magnetism are equally important
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Modern Physics
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Optics
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Heat and Thermo-dynamics & Waves and Sound
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Measurement & Errors
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Thermodynamics is important in Physics and Chemistry so concentrate on them. It is wise to cover Wave Optics first. The reason is that the portion is smaller compared to Ray Optics thus quick to cover.
The writer is director, FIITJEE