JEE Shortcut Tips and Tricks

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First, I agree with Alok in that its not a bad idea to relax in the holidays. You'd realise in the end that it was not those extra two months that count but how you practice and develop your problem solving skills over the entire span of two years.

At the same time, I think you might just be eager on working on something. So here's what in my opinion is beneficial:

Study the basics of the syllabus, as much as you can. Pick any book (NCERT, Pradeep's, HC Verma, ...) and go through the theory and the solved examples. 
I think it will not make much sense to practice problems at this stage, since different coaching institutes follow very different approaches. So you should be okay to go along with them. Reading the theory, concepts, formulas and how to use those formulas would help you understand most things very quickly when they are taught to you later in school/coaching.

So you can start by all the three subjects - PCM, for class XI. And once you are over with that, go on to class XII. I am pretty sure your holidays will be over by the time you complete all of this. :)

Regarding books:
By "any book" above, I mean those which are meant for CBSE or JEE preparation. It will probably not be wise to use a book like Morrison & Boyd, since many concepts there are quite advanced and cover more details than are required for the exam. As long as the book is meant for CBSE or JEE, and contains theory that you can understand, you can use that book
I think you should enjoy those precious holidays to the fullest rather than wasting them on boring IIT JEE preparations, because anyway you will be getting ample time ahead for the latter.

Incase you decide not to listen to the above advice, then follow the following pattern during the 2 month holidays so that you grab a hold of the basics.
  • NCERT 11th and 12th - Chemistry (Organic Chemistry first & if time allows then inorganic chemistry)
  • Derivatives and Integration formulae
  • Vectors
  • Speed-Time-Distance problems in straight line and circular motion.
  • Solving equations in 2-3 variables
  • Trigonometry & Geometric relations

The above topics are way more than enough to keep you occupied for a 2 months time duration.

The books I would suggest for preparations are the same as suggested by Mohit Saxena's answer here.
  • Physics - "HC Verma", "DC Pandey" (do not try "Problems by IE iridov" yet)
  • Maths - "ML Khanna" (not sure about this)
  • Chemistry - "Organic chemistry - Morrison and Boyd", "Physical Chemistry by P Bahadur"

I would recommend that you use FIITJEE's study material for all 3 subjects. They are short and precise.



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