Hello aspirant,

Here are 3 important questions:-

Q. 1: Find the direction cosines of the line passing through the two points (– 2, 4, – 5) and (1, 2, 3).

Q. 2: Show that the points A (2, 3, – 4), B (1, – 2, 3) and C (3, 8, – 11) are collinear.

Q. 3: If a line makes angles 90°, 135°, 45° with the x, y and z-axes respectively, find its direction cosines.

you may prepare these questions but you should also have a look to other questions also.

Hope this helps you

Feel free to ask any questions

All the best for your future

Hello candidate,

It's a fact that subjects such as algebra, geometry and trigonometry carry an importance weightage in the prestigious CAT examination, but you don't need to just leave your preparations if you are weak in these subjects.

First of all, try looking at your basics and solve the questions from NCERT class 8th to 10th standard which will help you to get your fundamentals correct, and then gradually moves towards the entrance books and try solving sample papers and detect mock test of specific chapters which you feel you are weak at. This strategy will help you to to gradually improve when you can also overcome your fear of failure.

All the best for your examination!!

See SL Loney is very standard book for Mathematics and if you are preparing for JEE-Advance then it is must have book according to my personal experience and if you consider it for Trigonometric and geometric part then it is the good thing but to only depend upon one book for for JEE-Main and JEE-Advance would not be the wise decision so for Mathematics as well as for other two subjects I am enlisting down some best books for preparation of JEE-Main and JEE-Advance 2021 :-

JEE-Main 2021

@Physics

Concepts of Physics-H. C. Verma

Fundamentals of Physics-Halliday, Resnick and Walker

Problems in General Physics-I. E. Irodov

University Physics-Freedman and Young

Understanding JEE physics series-DC Pandey

Problem In Physics-SS Krotov

@Mathematics

Higher Algebra-Hall and Knight

Coordinate Geometry-S.L. Loney

Differential and Integral Calculus-N. Piskunov

Calculus and Analytic Geometry-Thomas and Finney

IIT Mathematics for JEE Main & Advanced-M.L. Khanna

Course in Mathematics for IIT-JEE-Tata McGraw Hill publication

Problems Plus in IIT Mathematics-A Das Gupta

Trigonometry-S L Loney

@Chemistry

Modern Approach to Chemical Calculations-RC Mukherjee

Organic Chemistry-Solomons and Fryhle

Concise Inorganic-J. D. Lee

Organic Chemistry-Morrison and Boyd

University Chemistry-Freedman and Young

Physical Chemistry-N Awasthi

Arihant's Practice Book Chemistry for JEE Main And Advanced-R.K Gupta

For complete details kindly check out the link given below :-

https://engineering.careers360.com/articles/jee-main-preparation-tips-for-january-exam

JEE-Advance 2021

@Physics

Concepts of Physics by H C Verma (Vol-1 and Vol-2)

Fundamentals of Physics by David Halliday/Resnick/Walker

IIT JEE Physics by Arihant (35 years Chapterwise Solved Papers 2013-1979)

@Mathematics

SL Loney Mathematics

Objective Mathematics By R.D. Sharma

Plane Trigonometry and Coordinate Geometry (Two Books) by S.L Loney

Problems in Calculus Of One Variable by I.A.Maron

Integral Calculus for IIT-JEE by Amit M Agarwal (Arihant Publications)

A Text Book of Algebra For JEE Main & Advanced by Dr. SK Goyal (Arihant Publications)

@Chemistry

Physical Chemistry by OP Tandon

Modern Approach to Chemical Calculations by R.C. Mukherjee

Organic Chemistry by O.P. Tandon

Organic Chemistry by Paula Bruice Yurkanis

Organic Chemistry by Morrison & Boyd

Inorganic Chemistry by J.D Lee

Inorganic Chemistry by O P Tandon

If you are preparing for JEE-Advance then you can check out the link given below for best preparation tips :-

https://engineering.careers360.com/articles/jee-advanced-preparation-tips-physics-chemistry-and-mathematics

You can also check out the complete JEE-Advance 2021 syllabus from the link given below :-

https://engineering.careers360.com/articles/jee-advanced-syllabus

You can also check out the JEE-Main knockout package for preparation of JEE-Main 2021 from the link given below :-

https://learn.careers360.com/knockout-jee-main-april/?product=27&icn=knockout-jee-main-2021-january&ici=

I hope this information helps you.

Good Luck!!

Hello Aspirant,

Don't worry because this issue can only be resolved by practicing more and more questions from previous year's question papers and sample papers and also solving Previous Year Questions is the best practice to get the thorough preparation of JEE-Main, so if you are facing difficulties in understanding terminologies in different questions than what I would recommend you is just solve one paper in a day in the fixed time of Three hours and don't go for next paper until you clear all your doubts of previous paper so the concepts will be cleared to you. You can download different previous year's question papers and sample papers of JEE-Main from the link given below :-

https://engineering.careers360.com/articles/jee-main-sample-papers

https://engineering.careers360.com/articles/jee-main-question-paper

As we know that now the aspirants are facing their last time preparation before JEE-Main examination so now the solving papers should be the main priority because at this point of time reading of full concepts and chapters won't be the wise strategy so just be focused on solving papers and some important chapters which have more weightage as compare to that of others and for your reference I have mentioned those chapters :-

See from now very few time is left for JEE-Main 2021 so just give boost to your JEE-Preparation and I am enlisting down some preparation tips which would help you in keeping yourself motivated and give a boost to your preparation :-

@Physics

• Modern Physics - 20 marks
• Heat and Thermodynamics - 12 marks
• Optics - 12 marks
• Current Electricity - 12 marks
• Electrostatics - 12 marks
• Magnetics - 8 marks

@Chemistry

• Transition Elements and Coordination Chemistry  -  12 marks
• Periodic table and Representative Elements - 12 marks
• Thermodynamics And Gaseous State- 8 marks
• Atomic Structure - 8 marks
• Chemical Bonding - 8 marks
• Chemical And Ionic Equilibrium - 8 marks

@Mathematics

• Coordinate Geometry  -  20 marks
• Limits, Continuity and Differentiability - 12 marks
• Integral Calculus - 12 marks
• Complex numbers and Quadratic Equation - 8 marks
• Matrices and Determinants - 8 marks
• Statistics and Probability - 8 marks
• Vector Algebra - 8 marks

For more detailed preparation tips for JEE-Main 2021 kindly check out the link given below :-

https://engineering.careers360.com/articles/jee-main-preparation-tips

I hope this information helps you.

Good Luck!!

Dear student,

If you want to get complete marks in the Coordinate Geometry portion, then your basic concepts must be clear. Follow some good books . Some best books for coordinate geometry are listed below.

Coordinate Geometry by Cengage

Coordinate Geometry by SL Loney

Alongwith these books, you must solve previous year papers of JEE. Solving previous year papers and mock tests, will be very beneficial for you, not only in the coordinate part but also in the whole exam.

Hope this helps.

Always remember to follow one book be it NCERT or SK Goyal. Too many books might confuse you. Because Co ordinate geometry takes time in solving do not lose patience. Start slowly and keep a tab of the ti,e. Thre are many formula that might sound similar and so you might be confused. So write  formula on sticky notes or on a chart so that you can see them and practise them. Do read the test and refer books. Derive each and every formula. Do not move to the next one unless you complete the current one. Also check the solved probles like examples. In the bbeginning, look at the formula and solve it step by step. Later move to solving without seeing the formula. Next make a sumamry of all the formula in one chapter, practise them and then move to the next chapter.  Check this package also: https://learn.careers360.com/maths/three-dimensional-geometry-chapter/