Waste less time on Facebook — follow Brilliant.
×

Tricks and concepts

The objective of this note is to know and tell about the concepts, techniques or tricks which may be helpful during our Jee-prepration and are rather not that popular ( i.e you do not learn them commonly in school or maybe not at coaching too .) so, it will just take few seconds to write down (Our target would be to give at least a concept daily ) but it will help us all ! you may also write something important ( only related to study ) so that you may see it later , It would be great if you all make this note an important one such that we will see it a day or two before jee advanced ! \[\] Rules : if you are contributing something , write it's number after 2 hashtags and comment and if you are just commenting , write normally ! \[\] ##Enjoy !

Note by Brilliant Member
1 year ago

No vote yet
1 vote

  Easy Math Editor

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 \( 2 \times 3 \)
2^{34} \( 2^{34} \)
a_{i-1} \( a_{i-1} \)
\frac{2}{3} \( \frac{2}{3} \)
\sqrt{2} \( \sqrt{2} \)
\sum_{i=1}^3 \( \sum_{i=1}^3 \)
\sin \theta \( \sin \theta \)
\boxed{123} \( \boxed{123} \)

Comments

Sort by:

Top Newest

5 \[\] Whobbling coin : concept is very important, you can learn it here : coin or here .....there are some nice question on brillant related to it too .............. 1 or 2 { although , i solved both of them without learning the concept :P }

Brilliant Member - 1 year ago

Log in to reply

It is not in the syllabus I guess?

Harsh Shrivastava - 1 year ago

Log in to reply

yes , but in jee-advanced question can be asked as we saw in jee adv. -2016 that they are shifting their focus from normal to some good level physics ! :)

Brilliant Member - 1 year ago

Log in to reply

4

Using Feynman's method of integration can be useful in scenarios where there is a natural logarithm on the numerator of the integrand.

Harsh Shrivastava - 1 year ago

Log in to reply

method of this trick is to differentiate the integral w.r.t to a constant and then integrate normally !!

Brilliant Member - 11 months, 2 weeks ago

Log in to reply

Yeah.

For example,consider this :

\(\displaystyle \int_{0}^{1}\dfrac{1-x^{2016}}{\ln x} dx\)

It can be easily solved by using feynman's method!

Harsh Shrivastava - 11 months, 2 weeks ago

Log in to reply

@Harsh Shrivastava care to show , how ?

Brilliant Member - 11 months, 2 weeks ago

Log in to reply

@Brilliant Member \(F(a) = \displaystyle \int_{0}^{1} \dfrac{1-x^{a}}{\ln x}dx\)

\(\implies F'(a) = \displaystyle \int_{0}^{1} \dfrac{-x^{a} \ln x}{\ln x}dx = \displaystyle \int_{0}^{1} -x^{a}dx\)

Now rest is easy i guess.

Harsh Shrivastava - 11 months, 2 weeks ago

Log in to reply

@Harsh Shrivastava but bro @Harsh Shrivastava both of them yield different result ! :O , first will give -log(2017) while second one 1/2017 , there is difference of that log !

Brilliant Member - 11 months, 2 weeks ago

Log in to reply

@Brilliant Member your concept is wrong bro !

Brilliant Member - 11 months, 2 weeks ago

Log in to reply

Comment deleted 11 months ago

Log in to reply

Well no need to be sorry bcoz I am not in class 12, I m in class 11.

I'll give some awesome application of these tricks in a few days.

Harsh Shrivastava - 1 year ago

Log in to reply

Comment deleted 11 months ago

Log in to reply

@Brilliant Member Yeah :(

Gone are the days when people used to be online, now where are the gone.

Please contribute guyz @Aniket Sanghi @Prakhar Bindal

BTW how is your preparation going?

Harsh Shrivastava - 1 year ago

Log in to reply

@Harsh Shrivastava Like i came online for typing answer to this problem

https://brilliant.org/problems/frac1falling-space-rod/

i had taken a note of it some time before

Prakhar Bindal - 1 year ago

Log in to reply

@Harsh Shrivastava Actually i hardly see my notifications these days. just when i am bored i open brilliant see a problem take a note of it and then go back again to my room for solving

Prakhar Bindal - 1 year ago

Log in to reply

Comment deleted 11 months ago

Log in to reply

@Brilliant Member Lol I meant they are not active anymore.

Best of luck!

Harsh Shrivastava - 1 year ago

Log in to reply

https://brilliant.org/problems/a-simple-integral-3/

This problem's solution contains some awesome results that are hell useful.

Harsh Shrivastava - 1 year ago

Log in to reply

solved it, was nice !

Brilliant Member - 1 year ago

Log in to reply

3 \[\] Descartes rule of signs : Again , not that uncommon but useful "trick for finding the roots of a quadratic ! You can learn it here or here

Brilliant Member - 1 year ago

Log in to reply

9 Some expansions and special series and suggest you remember them too ! :) taylor and basel problem types

Brilliant Member - 11 months, 2 weeks ago

Log in to reply

7 \[\] i am tired of writing "not that uncommon" but here are cauchy-swartz and generalized mean theorm

Brilliant Member - 12 months ago

Log in to reply

Cauchy schwarz is really really awesome and useful for manyy problems!

Harsh Shrivastava - 11 months, 2 weeks ago

Log in to reply

6 \[\] common sense :P

Brilliant Member - 12 months ago

Log in to reply

I have posted our challenge problem,do try it!

Harsh Shrivastava - 12 months ago

Log in to reply

2 \[\] Abel's theorm for power series : you can learn it here Abel it is useful for calculation of some power series expansion ! you can see other theorms given by Niels Henrik Abel in the related links on wikipedia !

Brilliant Member - 1 year ago

Log in to reply

1 \[\] I will begin by giving information about a method called method of images(not that rare but helpful sometimes !) \[\] for hindi speaker this will be the best explanation or maybe this : wiki \[\] there is a nice question on brilliant too on it here , it deals with the quantitative analysis of charge induced on an equipotential surface !

Brilliant Member - 1 year ago

Log in to reply

Images are useful in many problems in I E Irodov's book

Kishore S Shenoy - 1 year ago

Log in to reply

yeah ! that's why i told it and also wrote (not so rare , if you have some concept to share , do write it ! )

Brilliant Member - 1 year ago

Log in to reply

@Brilliant Member I have a method which will solve Irodov's Mechanics Q1.82 in 3 steps. How did you do it?

Kishore S Shenoy - 1 year ago

Log in to reply

@Kishore S Shenoy drew fbd's and constraint of string length i did in 3-4 steps too ! which method do you wanna propose bro @Kishore S Shenoy ?

Brilliant Member - 1 year ago

Log in to reply

@Brilliant Member Balanced horizontal forces and acceleration along the wedge to get acceleration.

Kishore S Shenoy - 1 year ago

Log in to reply

8 From me too bro : link

Hiroto Kun - 11 months, 3 weeks ago

Log in to reply

Log in to reply

thanks for mentioning me , bro this sounds cool .. i have some stuff related to the electrical ckts , capacitors and lemme find out more ..

Rudraksh Sisodia - 1 year ago

Log in to reply

aren't you gonna post ?

Brilliant Member - 11 months, 2 weeks ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...