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There are certain things that causes the JEE exam to be the most wanted. Mathematics is the core for JEE as its application is needed in the other two subjects. So , taking care of some topics in JEE mathematics can help you not only in just mathematics but it will also enhance your problem solving skills of Physics and Chemistry.
1. Calculus
At the top of the list there should be Calculus obviously due to its tremendous applications
in the all types of questions. It had been trend in JEE to mix two or more topics in one single
question.
To be specific let's come through the concepts which will definately help you guys.
- Differentiation : Maxima-minima, increasing and decreasing functions
, points of non-differentiability and point of inflextion will solve 95% of the
JEE math problems.
As an example, finding the number of non-derivable points in a given function appears in the JEE paper in almost every paper. - Integration : In JEE, definite integration is very very important. You should know the shortcuts of definite integration properly. In another post I will focus on those shortcuts.
2. Algebra
In the consequence, algebra shouldn't be ignored. Not all the topics but ---
permutation and combination along with probability, the complex numbers. I should mention
the geometrical interpretation in complex numbers problems is must.
Then the sequence and series creates some interesting questions ( shortcuts also ).
3. Co-ordinate geometry and Graph plotting
There are five- straight line, circle, ellipse, parabola, hyperbola.
All are important. Mixed question may also come in the paper.
Don't forget to know about the various interesting properties which
the geometrical figures obey.
Graph plotting , though a topic of higher mathematics, is needed in JEE also.
Even and odd functions and their properties non-derivable points in a functions graph,
increasing and decreasing nature of a graph
which you can somehow relate with calculus also are non-avoidable..
Let's start from today onwards . Maintain a precious dream in life.
thank you very much.
