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The latest Messages 5
2021-08-07 17:20:01
#jee #maths
Important Sections Of Maths
1) 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.
2) Differential calculus again relates well to roots of equations, especially if you use the Rolle’s and Lagrange’s theorems.
3) Complex numbers is very important chapter for JEE. It can be used to solve questions in co-ordinate geometry too. Trigonometric questions require applications of De Moivre’s theorem. Every year, two to three problems (of purely complex number) are asked. Hence mastering complex numbers, vectors, 3-D and Definite integral must be on top priority.
4) Permutation-Combination and Probability is another very 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.
5) Matrices can be related to equations, hence a 3×3 matrix can actually be visualised as being three-planed in 3D 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 in tougher questions.
6) 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.
7) 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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