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/

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!

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.

Hey!

First clear your basic concepts of plane geometry and solve some basic questions from ncert, then try to solve the advanced level questions without looking at the solution. Once you are done with the practice of same, then solve the previous years problems.

For more information you can go through this link

https://www.google.com/amp/s/school.careers360.com/articles/how-to-prepare-for-kvpy/amp

Good Luck

Greetings Aspirant,

The Answer to your question is as follow:

Let the equation of the tangent be

y=mx+c

Since it passes through (2,8) hence

8=2m+c

Or

c=8−2m

Hence the equation of the tangent becomes

y=mx−2m+8

Substituting in the equation of the hyperbola

5x(Square) −y(Square) =5

5x(Square) − (mx−2m+8)(Square) = 5

5x(Square)−5−(m(Square)x(Square)+4m(Square)+64−4m(Square)x−32m+16mx)=0

x(Square)(5−m(Square) )+x(4m(Square) −16m)−4m(Square) +32m−69=0

Since it is a tangent hence D is 0.

Or

B(Square) −4AC=0

(4m(Square) −16m)(Square) −4(5−m(Square) ) (−4m(Square) +32m−69)=0

m=3 and m=23/3

Hence

y=3x+2 and 3y=23x−22

For Your Better Understanding i have also uploaded an image of the same answer to your question. You may go through it.

Answer Image (https://drive.google.com/drive/folders/17Q4BTcoBKGmANQIhhdKF_5ZZkJcqGWAP?usp=sharing)

Hope My Answer Helped You.

Best of Luck For Future.