วีดีโอ

lets say the angle (b+2,a) made with x-axis is theta . so Tan(theta)=a/(b+2) now , adding pi/4 in theta as rotation in anticlokwise will increase the angle with x-axis by pi/4. we know the new coordinates are (-1/√2 , 7/√2) . Tan(theta+pi/4)=(7/√2)/(-1/√2)=-7 => Tan(theta) + 1/1-Tan(theta)= -7 by solving we get ,Tan(theta)=4/3 a=4 , b=1. so 2a-b=7

Solution?

Easy sawal ko complex Bana diya

Yes lmao very easy i dont think anybody does the whole long method

Rotn matrix watching from hell🤔....

But if you remember that rotation matrix this becomes more easy nd fast!!

5:28 we break it like 1/3{whole in sigma [(r+3)-(r)]/(r)(r+1)(r+2)(r+3)) i recently solved the same type q in my adv test edit: the ans for sum to inf is 1/18 edit2: 7:17 i did the divide by 2^n and 3^n on my own but after that it was just unintuitive and also kinda crazyy

We can assume x= rcos theta and y=r sin theta Then tan theta= y/x Again tan (π/4+ theta) can be found And distances can be compared It shud be (a+b+2)/√2, (a-b-2)/√2

me to neet de raha hu, maine ye kyu dekha

me who did it in less than 10 secs

don’t worry, you ear phone is working just fine 😂

Aap Agra m khaa se ho?

my head rotated 360 when i heard your voice only on the left side of my ear in headphones

Content top class❤❤ Audio quality third class 😢😢

Same approach is used in vector too

i did in same way

Rotation sunte hi physics walo ko rolling without slipping dimag mein aata hai, hamein complex numbers :) Loved the bloopers 😂 keep working hard fam 💪

bamboozled

first

Do you like the new format 😅

So no one’s gonna talk about the sticky notes in background? The background is mesmerising for maths lovers 💫

Im cooked

For finding angular momentum about a reference point, we first find the AM about the centre of mass of that body, and then assuming the whole body as a point object at its centre of mass, we find the AM of this point mass (i.e. COM) about the external point which was asked.

mza aya bhot , muje geometry abhi interesting lag rhi h , thank you bhaiya for posting this illustration

bhaiya diagram bnane m 3 min lge but ban gya shi , aage ka kch smj nhi aaya kyuki limits nhi pdha

19:23 bhaiya maxima kyu calculate kia apne ?

Most terms were getting cut, pretty good question, looks monstrous but in the end converges to a small expression, took 15 mins..

Bhaiya mere pehle do option aur last option correct aagaya

When we expand the expression say (x+y)^n We are selecting any r terms from a total of n terms For example to find coefficient of y^3 in (x+y)^7 (x+y)(x+y)(x+y)(x+y)(x+y)(x+y)(x+y) We will select any 3 terms out of these 7 thus to select 3 items out of 7 we write 7C3

Priyank bhaiya ne physics chhod diya kya

Power ko distribute ke liye

Congruence modulo and ye without pen paper solved

This can be explained easily by PASCAL'S TRIANGLE👍👍👍 and by Simple Observation of first 2 to 3 power...👍👍👍

Two equations for finding value of 'x' and 'y' 1) ax + by = C 2) px + qy =C (If "C" is the Real Number as- 0,1,2,3......). Can we write or say. "ax+by = px+qy = C" ("ax+by = px+qy") ( Because both are equal to "C"). Is it true or not. please help with example 🙏

I think we can do it also using Pascal's triangle!!

this is due to the no of terms of one term

Guy in my left ear speaking the truth 🗣️🗣️🗣️🙏🏽🙏🏽

My left ear 🗣️🗣️

Doubt if we put n = 3 and r = 2 then ans should be 8 but from this expression it is 4 😢

Gol h Gol h Gol h

We know pascal triangle ❤

While writing the r+1th term we will all the brackets of (x+y)(x+y).... n times From this when ever we expand the net power of each term will have net power of n So now we know that we need to select lets say r brackets outof which we will multiply all the y's and the rest n-r brackets we will multiply the x's And the number of ways we can do is nCr*1 so we will hage nCr*1 type of brackets having the y power as r and x power as n-r hence the term nCrx^n-r y^r ( student of so60 math physics , revision course maths and physics ❤❤❤)

Same song in the background bhaiya ?

Pnc se prove kiya tha is formulae ko

The ncr is for selecting the number of brackets to multiply iykwim

those saying 'pascals triangle' is❗️ not❗️ really the answer. Think where pascals triangle came from- like they are the coefficients, yes, nCr but that doesn't answer his question. Think like (x+y)^2= (x+y)(x+y) Now x^2 can come in only 1 way -> x×x so coefficient is 1. and xy can come in 2 ways ->x×y+y×x (2 brackets) so 4C2 idk if i could explain well

Please turn the music up I am able to hear your voice 😡

10:36 ln(i) is not simply i.pi/2 but rather 2ni.pi/2... so there will be infinitely many solutions

Use induction to proof😎