Monday, 17 February 2014

Co-ordinate your geometry - co-ordinate geometry

Co-ordinate geometry has a huge weightage in JEE and it is considered to be the easiest topic in JEE maths.
First of all, a chapter wise analysis, then relevant books and then concluding remarks are mentioned in this post.

1.) Basics : Cartesian coordinates, distance between two points, section formulae, shift of origin etc. They form the backbone of Co-ordinate geometry. Make sure to learn all formulas by heart. Locus problems form another set of problems from the point of JEE. Master them


2.) Straight lines : Equation of a straight line in various forms, angle between two lines, distance of a point from a line. Lines through the point of intersection of two given lines, equation of the bisector of the angle between two lines, concurrency of lines, centroid, orthocentre, incentre and circumcentre of a triangle. These are the topics as mentioned in JEE syllabus. Understand the various forms of a line and learn to apply the best form in a particular scenario. Family of straight lines is most important from the point of view of JEE problems. Also make sure to learn how and when to apply the parametric form of a straight line.


3.) Circles : Equation of a circle in various forms, equations of tangent, normal and chord.

Parametric equations of a circle, intersection of a circle with a straight line or a circle, equation of a circle through the points of intersection of two circles and those of a circle and a straight line.
It's the simplest chapter. Understand the standard equations. This chapter contains a number of formulas such as - length of tangent from a point, equation of chord of contact, equation of chord with a given midpoint, equation of common tangent, finding radical axis, radical centre, etc. The formulas derived here are general and apply to ellipse, parabola and hyperbola as well. So better learn them by heart. The parametric form of a circle is very important.

4.) Parabola : Most of the equations that are derived in Circles chapter will work here. The parametric form is really important in all chapters of conics. An interesting topic is the reflection property of parabola which you might like to learn for solving paragraph type questions in JEE. Note that paragraphs are common from the chapters of coordinate geometry so better be prepared to se something new on JEE day. You won't be given the same old beaten up problems.


5.) Ellipse : Much of same as Circles. Again the parametric form is important. Auxiliary circle helps a lot in solving the questions of this chapter. Locus problems are frequently asked from this chapter. Parametric form will help you in solving locus problems.


6.) Hyperbola : Much of same as Circles and ellipse. Simple but confusing. Conjugate hyperbola and asymptotes and their properties are important. Some people face problems in this chapter. Reason is that this chapter marks the end of coordinate geometry. So, usually people get bored till this time and tend to neglect it. But keep in mind that paper setters know all this. And they are ready to trap you. A good student cannot afford to miss any chapter.


Books : TMH is the best book if you are aiming for a good rank. If you are looking to try something challenging and want to convince yourself that you know coordinate geometry, then go for Arihant Coordinate Geometry by SK Goyal. It's a good book. It contains enough subjective and objective problems. Make sure you do all


Concluding Remarks : Make sure that you know the parametric form of each curve, equation of tangent of slope "m", equation of normal of slope "m", equation of tangent and normal at any point (x,y) or in terms of parameter. These are the most important things and most problems will be done if you do them.


Revision : Any review package might help. Make sure you revise the formulas from some reliable source. Best way is to write down all of them in a sheet of paper and revise regularly. You will learn them only when you apply them. So solve as many problems as you can. You will enjoy it. For revision you may try TMH (unsolved problems).


Finally : I request you all not to ask me "Is this book enough for JEE ?", "will I get under 1000 rank if I do this ?".

I really don't know the answer to such questions. Nothing is enough for JEE. You can solve all the material available but still, you might not get the expected marks because of poor examination temperament (about which I will write soon in my next post).

All the best.

Enjoy coordinate geometry

58 comments:

  1. what about loney...did u not use loney.?

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    Replies
    1. It's useless as far as objective JEE pattern is concerned

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    2. ok, so hall and knight,loney, berman are useless?

      Delete
    3. Personally, I feel that they aren't really recommended for the current JEE format.
      But take advice from your teacher and if he/she recommends, then you may give it a try (I assume that you have good teachers)

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    4. HI aman,i have fiitjee packages and i can solve most of the problems in it,but at times i feel there is an easier way to do it,as geometrical method is easier than coordinates method,so does sl loney teach that?

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    5. Hi Aman my name is Sunny and right now i m studiying in class xi
      my main maths problems generate from this coordinate geometry
      i am still not able to understand the concepts of parabola clealrly actually i find it difficult so what i should do to get over it did you have any solution

      Delete
  2. Are the exact formulae for incentre,orthocentre,circumcentre required for JEE Advanced?Or will know their properties suffice?

    ReplyDelete
    Replies
    1. No, you don't need to mug up the formulas. Properties are more important

      Delete
    2. Aman said right☺
      You should master coordinate from balajee book of vikash gupta.that is best in coordinate geometry.

      Delete
    3. Aman said right☺
      You should master coordinate from balajee book of vikash gupta.that is best in coordinate geometry.

      Delete
  3. Is the book New Pattern IITJEE Mathematics by Amit Agarwal a perfect substitute for TMH?

    ReplyDelete
    Replies
    1. Read the last paragraph of this post

      Delete
  4. Hi Aman!

    You said you use TMH for coordinate and Algebra. But can you please tell me the exact title of the book? There are a number of math books by TMH. if you have used the IITJEE one, which year's book have you used? 2011 or 2012?

    Thanks.

    ReplyDelete
    Replies
    1. http://www.flipkart.com/course-mathematics-iit-jee-2012-1st/p/itmczyz2axpff5yj

      Delete
  5. Hi AMAN,

    Kindly, answer some of my queries in the following posts:
    the fight continues.. and Beginning of my JEE Preparation...

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  6. when you say most formulas derived in circles apply to parabola ,do you mean, say, for example ,dat length of tangent from a point is sqrt(s1) in case of parabolas too???

    ReplyDelete
    Replies
    1. No.
      Formulas like tangent at a point (x1,y1) equals T = 0 where T has some general expression.
      Chord with mid point (x1,y1) has a general form T = S1
      Length of tangent doesn't hold in case of parabola (think how it was derived in case of a circle)

      Delete
  7. Every new post on this blog brings a smile on my face....
    thanx a lot bhaiya for devoting your time for such a priceless and inspiring job.

    PS:Last paragraph must be noted down by all jee aspirants...:)

    ReplyDelete
  8. Is there any way of knowing if Aman has replied to any query in comments section in all blog articles?

    ReplyDelete
    Replies
    1. I don't really think so. Don't you guys get an email when I reply to your comment?
      I think you should follow the blog to get the comments as email.
      I don't really know what should be done but give me time, I'll see

      Delete
  9. Hi AMAN,

    What was the minimum amount of time u devoted to any topic in Maths.
    How to deal with the derivations in mathematics. As per ur advice i have started deriving formulas but it
    is very much time consuming and some times it is confusing.
    Please advice me some useful tips in this mater. Also tell which are the most important chapters when it comes to derivations.

    ReplyDelete
    Replies
    1. The minimum time isn't known to me.
      It's good that you are deriving the formulas.
      It might be tedious but the point is - you must be able to reproduce the formula and it's derivation immediately if required. In JEE, they might force you to re-derive a formula by twisting the problem.
      Check out past year papers and you will get what I mean to say.

      Delete
  10. Hey Aman
    I'm really weak in coordinate geometry. Looking for a book to cover basics. Would you recommend loney?
    Is fiitjee gmp good enough?

    ReplyDelete
    Replies
    1. Please read the post carefully.
      I have clearly mentioned the relevant books

      Delete
  11. hello bhaiya .. did you complete all tmh questions or leavesome for revision(jee15 aspirant

    ReplyDelete
    Replies
    1. I left the unsolved problems for revision in the end

      Delete
  12. hii as concern your advice i atempet sk goyal but i found it difficult and some portion of it are out of syllabus to i can do the solved ones but never tried for unsolved questions and also its solution is not given can you suggest me any other book

    ReplyDelete
    Replies
    1. Well I don't know any other good book
      Maybe you can try TMH

      Delete
  13. Are polar coordinates and oblique axes required concerning the jee syllabus. understanding these concepts is a bit frustrating.

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  14. Please also guide me which book focuses on concept building in coordinate geometry as concept clarity is the main essence concerning jee

    ReplyDelete
    Replies
    1. please read the post carefully.

      Delete
  15. Hey aman i,ve have 2-3 months to deal with coordinate geometry , should I go for tmh or sk Goyal , well sk Goyal seem to be vry challenging .. I want master it well but in a limited time , I,m amming for 2 digit rank and ill be giving jee 2015

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  16. For coordinate geometry I should first start from a basic book like RD Sharma or directly start from arihant
    Giving JEE 2016

    ReplyDelete
  17. Sir,
    I'm in Class 11, targeting JEE 2016. Considering that same pattern continues, what should be my aim of marks out of 360, to get rank within 100 ??? I mean, marks out of 360.
    I've searched for Marks vs Rank list for JEE Advanced 2013 on internet but could not get it.
    Thanks in advance

    ReplyDelete
    Replies
    1. well for AIR < 100, around 280 marks were needed in JEE 2013

      Delete
  18. Aman,
    I did all the in-text questions (examples, intro exercies etc...) in arihant's coordinate geometry and proceeded to the exercises without doing the solved examples section. After doing 10-15 initial problems without taking a lot of time, I am finding the rest of the questions difficult and highly time-consuming. Is there any way out of this ?

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  19. I want to study coordinate geometry from only one book first.So, should I go for SK Goyal or TMH

    ReplyDelete
  20. limited time left ..... tmh only or s k goyal too ??
    also, is s l loney relevant for jee??

    ReplyDelete
  21. JEE Advanced Coordinate Geometry is literally unsolvable. Please help me if you can.

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  22. Hey aman pls pls pls reply . which one you used for coordinate geometry ?
    A textbok of coordinate geometry sk goyal or skills in mathematics by sk goyal?

    ReplyDelete
  23. i follow sk goyal for coordinate geometry,is there any need to do the lengthy subjective problems,i am actually in shortage of time.i will give jee in 2016.did you straightaway went to the excercises or first did the examples?

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  24. Which topics in coordinate geometry are very imp from jee point of view

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  25. I was thinking about getting S.L Lonely,I need to clear concepts.But might I ask,Is TMH only for Solved problems and unsolved questions or does also contain Concepts.Presently I use FIITJEE but the concepts for straight lines (only I guess) isn't easy to understand.

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  26. Wow this is one of the best posts I have ever read and trust me guys this has helped me alot, I followed this throughout the year (I am a dropper), this really helped me get through Co-Ordinate!

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  27. how is sk gotal question bank (thick on enot individual) i jst cn do 70% q .need to worry?

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  28. aman bhaiya kya sk goyal co ordinate geometry ka level 2 banana bahut important h kya kyunki usme sirf proof ar complicted ques h..

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  29. What about cengage Coordinate geometry?

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  30. Aman bhaiyya is last revision from formula book is good? Did u used any formula book? Which?

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  31. What is poor examination temperament ? as you have mentioned somewhere.

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  32. I have a time of one year and half ...should I study SK goal for coordinate or cengage coordinate for IIT???is there any vast difference between SL loni coordinate and SK goal coordinate??

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  33. Iam preparing for jee2017. Currently using rd sharma and a das gupta . Is it necessary for me to buy arihant coordinate geometry and integral calculus ?

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  34. Iam preparing for jee2017. Currently using rd sharma and a das gupta . Is it necessary for me to buy arihant coordinate geometry and integral calculus ?

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    Replies
    1. das is boss for co ordinate geometry .... you may fill lot of difficult but dont give up ..it is proper for advance

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    2. das is boss for co ordinate geometry .... you may fill lot of difficult but dont give up ..it is proper for advance

      Delete
  35. For basics you mentioned for simpler questions for understanding which book I should do??
    And my teacher advise us to recommend RD OBJECTIVE. Is a good book or not??

    ReplyDelete