Answer laterWhat are important 5 marks questions of 3D Geometry? Of Class 12th (2nd PUC) (For Board Exams) What are the Important Derivations of the same chapter?
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
I want to appear for CAT examination next year but, sections of my my like Algebra, Geometry and Trigonometry are very very weak, should I still try for CAT examination or should I let it go? Please suggest me from the best of your knowledge.
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!!
is sl lonely a good book for trignometry and co ordinate geometry? if yes then is trignometry part 2 of sl loney is required? (for jee main and advance)
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 :-
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 :-
I hope this information helps you.
Good Luck!!
i m jee aspirant my problem is even i know all the formulas i stuck in understanding the question correctly.that vocabulary and terminology is difficult to understand whether it could me M,P,C especially in maths-coordinate geometry and physics. so what is the solution to my problem??
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!!
which book is best in coordinate geometry for jee mains and advance
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.
I am unable to understand the coordinate geometry specially the questions ,how to proceed to solve them , anyone please be kind to lead my way what should i do,which book i should practice.?? I am in class 12
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/
can anyone suggest better strategy to master coordinate geometry especially conic sections and circles??? i m facing a lot of problem in this aspect. so plz suggest..
Hello there,
Conic sections and circles to be honest are actually easy if you can
remember all the formulas
. Since learning formulas is something which can be done only if you put an effort by yourself. You can paste charts in your room with all the formulas written on it. See it every morning and before sleeping, read them at least once every day.
Use books like cengage,
although the image of this book is created as it has one of the toughest questions but if you see it's solved example and concept application questions they are quite easy and are solvable if you just follow their theory exactly. so solve questions from it as being able to solve one question from cengage will automatically
boost your confidence in the subject.
and mastering any concept in maths requires a lot of practice so once your confidence gets boosted start trying to solve the exercise questions, make best use of internet and youtube and ask your teachers and focused peers doubts, dont hesitate.
Hope it helps!
ALL THE BEST!
tan( pie by 4 - theta) = 1-tan theta upon 1+tan theta proof .
We've to prove tan(pi/4 - x) = (1-tanx)/(1+tanx)
We know that tan(pi/4) i.e., tan(45deg) = 1
And tan(a-b) = ( tanA - tanB ) / ( 1+ tanA.tanB )
Let us prove by taking tan(pi/4 - x) and applying the formula, we get
tan(pi/4 - x) = tan(pi/4) - tanx) / ( 1 + tan(pi/4).tanx )
And when we substitute 1 at tan(pi/4) we get,
tan(pi/4 - x) = ( 1 - tanx )/ ( 1 + 1.tanx )
So that's why,
tan(pi/4 - x) = (1 - tanx)/(1 + tanx)
It's all about substitung the values and we get to prove the equation.
Hope this helps!
All the best!
Hello I am preparing for IITJEE 2021 In Mathematics my co ordinate geometry is week so what can I do to improve it . And My Inorganic chemistry is week so Can Any IITian can guide me. please
Hi Akash,
I am an NITian and not IITian. I can answer it in a better way because I have realized and I know what it takes to be an IITian.
In Inorganic chemistry you have to mainly memorize the facts, except in some cases. At initial stage you can refer to NCERT and memorize it thoroughly and ensure that not a single line is left unstudied. Then you should refer to some advanced text books. Keep memorizing periodically and keep revising each chapter.
Coordinate geometry is very much important for JEE advanced point of view. And it is easy to score in this topic of mathematics. Coordinate geometry is less about concept and more about how fast you can see the actual trick to solve the problem. Someone can take 2 pages to solve a particular question but a smart aspirant will solve it instantly. This is what works in JEE Advanced. At first you should solve your coaching notes questions and then past year paper. Now comes the actual work to be done for excelling in JEE Advanced. Now start solving a different book, probably TMH or SK Goyal will do. Solve as much questions as you can. If you find these questions easy then switch yourself to SL Loney and start the same.
The next mistake most people make in this section is calculation mistakes. Avoid this at any cost and this can be achieved by practicing and only practicing.
If you follow this then you are surely going to crack JEE advanced.
All the best.
