An " Elementary " Question From The Hardest Test | JEE Advanced 2022 Question | Aman Sir

[@armansrivastava665]

If we assume A as(0,0) and radius of circle r Center of circle touching sides is (r,r) and center of circumcircle is midpoint of hypotenuse If circles are internally touching then C1C2=R-r R: radius of circumcircle

[@armansrivastava665]

Distance between centres of circles

[@pushkarc28]

yes thats what i did somewhat

[@armansrivastava665]

@AbhishekKumar-pu1sk distance formula

[@RRWORLD-rv7br]

I got 2 as answer but how??? the midpoint O of the larger circle gets joined to A, then BO = root10/2& CO= root10/2 Radius of the smaller circle is r As the circle touches at AB on E & AC on F they are the tangents of the smaller circle Then GE =GF =r, with G as the centre of the smaller circle Angles between =90°( Radius tangent theorem ) Forming a square so AE=r, BE=1-r & AF=r, CF=3-r Taking the triangle BGE, BG=root of BE²+GE²(Pythagoras) In CGF, CG= root of CF²+GF²(Pythagoras) In triangle GBO GO = root of BO²-BG²(Pythagoras)___(1) In triangle GCO GO = root of CO²-CG²(Pythagoras)___(2) (1)=(2) solving will get the answer 2 10/4-(1-r)²-r²=10/4-(3-r)²-r² =>-1-r²+2r-r²=-3-r²-r²+6r =>4r=8 =>r=8/4=2//

[@Maths_3.1415]

We can also solve it by coordinate geometry :)

[@AtulKulwariya]

i love the how JEE create questions. With many possible ways of solution (many ways for those who studied) :)

[@porte_bosho]

How do you Indians guys make such questions and think about so many possible ways to solve -__-

[@AtulKulwariya]

@@porte_bosho because we practiced alot(for JEE, toughest exam in india💀 under UG)

[@porte_bosho]

@@AtulKulwariya I know -,- I have just returned after giving a jee standard exam in Bangladesh :) our coaching centers are also following your path to make such questions

[@AtulKulwariya]

@@porte_bosho :)

[@MDSaad_IIT_BHU]

Sir is back

[@studies9301]

Finally sir is back , appreciate your work sir

[@dibyasatyamghosh1639]

This question becomes really easy if one knows a few theorem on mixtilinear incircle..

[@ludicrousreality0]

ye theorem kis book mein padhaya jaata ha waise to bologe ki no theory padh ke bahut question easy ho jaayenge

[@IITIANJEE]

Sir keep coming with this type of videos ☺️🙏🙏🙏👍❣️❣️❣️❤️❤️🥰🥰♥️

[@ronin4923]

Even if you dont have a taste for geometry and dont know SOT, you can solve it quite easily. Assum AB and AC to be along y and x axis respectively, since you have three points you can find its circumcircle equation quite easily. After this use relation that x and y intercepts are 2(g^2-c)^1/2 and 2(f^2-c)^1/2, and since intercepts are zero, g^2 = f^2 = c in the standard circle equation. Now all you have to do is draw a rough diagram, and equate distance between the two circles(using distance formula) = R1-R2, and you will get the same final answer as above. What i mentioned above may look very long, but it can easily be done within 3 minutes

[@ABCDEFGH4567-8]

R=rcos²(A/2) (3+1-√10)/2=rcos²(π/4) (4-√10)/2=r/2 r=4-√10 Just use the concept of mixtilinear circle.

[@SahilZen42]

Could you plz tell me about it🙏🏻

[@SahilZen42]

What is the concept?

[@SahilZen42]

I can able to understand your whole calculation but how can we derive R=rcos^2(A/2)

[@Cosplayinghuman]

@@SahilZen42 SOT padhlo uss chapter mein hai but iss saal remove hogya hai

[@SahilZen42]

@@Cosplayinghuman SOT kya?

[@SantoshKumar-hj6kk]

Use co-ordinate geometry to easily solve this question

[@yuvrajrathod4434]

@BHANNAT MATHS sir , i m a student of class 10 , i solved this question successfully , the answer i got is 4-root10/2 ,, using an identity of cirlces, which states that , in this kind of cases only , the right triangle so formed has property to acheive radius as , the radius = sum of two sides of the right triangle minus the hypotenuse whole divided by 2 , this is really applicable , and is used in many sums of class 10 and is asked for proofs ,, thank u sir for your method too, the actual radius is aprx 0.42 .. love u sir

[@neetupandey5756]

CBSE?? In which book?!

[@yuvrajrathod4434]

@@neetupandey5756i study in gseb . Ncert maths textbook class 10 ch 10 or 12 related to circles has some questions regarding this

[@spookykirito3052]

@@yuvrajrathod4434 exactly which question no. I never saw this is my gseb book

[@amoghsod2212]

Brother that formula is only applicable for the circle inside the traingle or incircle and that is the wrong answer it's 4-√10 not the whole divided by 2

[@soul6165]

My favourite maths teacher Bhannat sir

[@zeeshanahmad13]

World best mathematics teacher

[@Physicslover1199]

My favourite 😻😻 sir 💕💕

[@Manishardy]

Nice sir... U r now more cooler than before..

[@KabeerHasanSKS]

Sir you did a silly mistake That triangle ABC is not a right angled triangle

[@MrDj1607]

Namaste sir ji. Great. Superb.

[@messi9124]

Maine khud try kiya, nhi solve hua. Fir apka solutions dekha, to pta chala ki 70% maine solve kr diya tha,,, bs chhota wala triangle me dimag lgana tha, Utna Chhota triangle dekh kr maine ignore kr diya😅,aur uske bahr solutions khojne lga tha 😅😅

[@RishabhSingh-uj1de]

Area use kro 1/2 r*length tino triangle ka sum karo and equal to 1/2*3*1 r Nika jaega

[@Shelby_itachi]

Sir answer 4 - root(10) likhna hai ya 0.8377 in jee adv

[@mr.rajiv_008]

Now please continue daily video posting

[@sakshamjain-nv4hx]

Coordinate geometry se ek line ka answer hai

[@divyeshranwa4957]

Sir aap mind your decisions wale channel ka copy kyu karte ho!

[@tarinmoymukherjee3047]

But sir how can we do that type of sum in such little time

[@ssdignity2528]

Sir as you know aaj jee ki dates release kr di gayeen hai Or sir bacho ke liye maths kaisa subject hota hai aap jante hi hai Sir pls kuchh karke hamare 50 marks pakke kr dijiye sir Aaj jaise kahenge ham padne ko taiyaar hqi sir pls

[@jaythakkar4298]

nice application based Q sir .. maine voh dono sides ko coordinate axis mankar conics se solve kiya .. fir ho gaya

[@minhazstp3733]

Guru ji kataye zeher 🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥

[@ojassingh630]

How is r>R??

[@rameshn282-u7q]

integral of f(x) = f(x) then f(x)=?? F(x) is different form (e power x) Sir please tell

[@redsurfer_255]

f(x)=0

[@mathq123]

Legend of Mathematical world 🌎 Love you sr

[@ruhankureshi3094]

Sir please diagram upgrade karke samjaaye Iss diagram me samaj nahi aa raha😢

[@newton7277]

Sir 2023 ke liye easy chapters ka crash course layie taki ham minimum 40 marks score kar sake 🙏🙏🙏🙏

[@nowhereman000]

Great math Guru

[@amitsaroha9030]

Love u sir ji ❤️❤️

[@manoranjanmandal1397]

Sir you teach very good but How was unacademy ?🔥

[@aryanbhaiyt295]

Kaash itne colour ka pen hota exam me to toda easy lagta 🤣🤣

[@ritikpathak414]

Gajab explanation 🔥🔥🔥🔥🔥🥰🥰🥰

[@AyushKumar.SinghY]

Sir, kindly bring a course for *IOQM 2023*. Sir, please bring a course for Maths Olympiad from basics to advance. 🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏❤🙏❤🙏❤🙏❤❤❤❤❤❤❤🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏❤❤❤❤❤❤❤❤❤

[@AyushKumar.SinghY]

Please sir bring a course for maths Olympiad

[@अंकुशकुमार-झ4फ]

Love you sir ❣️❣️❣️❣️

[@Mishra-jiiiii]

Ek dum bhannat sir ji

[@sksuman8292]

Naman sir is back

[@johnkeats046]

Sir aap bhut mast update ho

[@bahirasuperstar4347]

Sir you are really hero

[@mathematicsonly852]

Sir were missing you ❤️

[@godpraveenyt6142]

Mind your decisions!! Wale video

[@rupeshpatode2116]

Sir questions practice karawoo please jee main 2023 ke liye . Please

[@Iamatri_mukherjee]

Itna din bad sir 😞

[@A__MBEINGAM]

Good explanation Naman sir !!

[@shibdeepsaha9748]

Sir aap maths Olympiad ke liye course nikaliye abhi bhi time hai kyunki agar aap 1 year pehle se padhayenge to aapko result milna ka chances bohot jada hai

[@johnkeats046]

Good evening sir ji

[@Md.Jaid248]

7:10 I think kisi ne bhi upper right conner pr mistake pr notice nhi kia

[@swaranjalloomba7065]

.√5

[@Md.Jaid248]

@@swaranjalloomba7065 yes yehi mistake

[@harshsinha3265]

Sir, class 12th boards 2022-23 ke liye bhi video banaye na.

[@marvelshorts389]

Sirji instagram ka jo link hai woh work nahi kar raha haii

[@Its_Lofis]

Thank you so much sir..

[@tusharbhaichhavda2693]

You are incredible........

[@ayubjikani5401]

Everyone: Solution. Sir : Salootion. ❤ 😂

[@sagardas2077]

Mind your decision me bhi tha ye wala que

[@hishjisl2184]

Sir ab aap aur ye question layeyee pls.

[@prathmeshnachane1533]

I love you sir 😍😍😍😍

[@ssdignity2528]

Sir pls aapse pada hai mene me janta hun aap kuchh kr sakte hai

[@up70musicmauryafamily59]

Sir is back nice sir

[@ankushgoodshort4293]

Good sums by sir

[@Mayank-sb4yc]

Sir come after long time 🙂

[@shaunakstudiz936]

radius is (under root 10)/16

[@arnavjindal2857]

I guess 4-root10

[@xa11ankurpal99]

❤❤ aman sir

[@shreyas_9519]

Sir is looking op😎😎

[@vikasgupta3639]

@aman_sir Plz sir important chapters ka one shot video bana dijiye

[@tushar6555]

Legend is back 🔥🔥

[@SumitKumar-pz4fv]

Mja agya karke sir Bhut asan tha question 😍😍

[@VkKingdom-j7u]

Kis class me ho bhai

[@noobnok]

Ha Bhai solution dekhkar sabhiko asan lagta hai🤧🤧

[@sitej6174]

This question is similarly looking like 10th class geometry from Circle & Similarity of geometry.

[@deepakb5547]

There is a mistake in writing sqrt 0.5 sqrt 10 .it should bw half root 10

[@uditkumar.4437]

Jee mains series oneshot phy. Chem. and maths

[@Ashukukrejac3434]

Kya ye question kisi aur tarike se nahi solve hoga?sir

[@ABCDEFGH4567-8]

Ho jayga ..just use concept of mixtilinear circle

[@championonwayyt2010]

Mujhe kya me to commerce wala hu ca karra hu phir bhi ye video dekh raha hu

[@daddyfrhuh]

Mind your decisions ka chaap dia

[@Swaroop704]

Sir please do not copy videos and Thumbanai from Mind Your Decisions KZbin channel

[@Pie_670]

Best questions of IIT 🔥🔥🔥🔥

[@Guest-lm5qp]

not even close

[@JitendraGupta-n6b8z]

Tum yaar mst padhate ho , khud ke channel pe padhao n pura series me 11th and 12th please @Bhannat Maths

[@ABCDEFGH4567-8]

This is mixtilinear circle.

[@sailendratalukdar1188]

Sir big fan pls reply

[@nasaransari1415]

itne dino se kaha ho sir ji, bhool gaye kya hum sab ko, aap bole the olympiad k liye course laane ka kya hua uska plz batao?????

[@manish.shukla.31]

Awesome

[@b4driiii494]

Best teacher ive ever had

[@matvation]

Final notification out

[@Study-bj3hy]

love you sir

[@63-evrajpatel31]

Who come after alakh sir websiries

[@somethingwitty6469]

This question is of which chp

[@Toxsiii--w]

You are just stealing content first that wifi question and now this ....

[@Anonymous-wo7ce]

Presh Talwalkar

[@busybee-y5w]

Maine coordinate se try kiya tha Bhut lengthy chala gya tha Toh chod diya

[@AdilKhan-yr4vt]

Sir board ka yahi background still rake 👍

[@36parthdhabuwala11]

Sir apne galti se 0.√5 √10-r likh diya tha

[@arnav5759]

This is why the cut-off became 5 marks for each

[@MohitKumar-eu4pz]

Yesss

[@amanjaiswal6348]

Not actually 1-2 q se farak padta hai but itna bada bhi nahi ki 5 no cutoff hojaye zoom in sabka tha 200% toh woh bhi factor nahi hoga lekin computer issues, irregularities bohot howi and mental stage different level pe affect howa and ho sakta hai after COVID 6hrs continuos sitting ki adat Kam hogayi hai (atleast 1-2% toh Kam howa hi hai)

[@golu8818]

Sir ko nikal diya ka youth acedemy valo ne

[@nitrrstudent]

@@golu8818 youth academy 😂😂😂😂

[@minhazstp3733]

Guru ji maths ke board exam ke liye videos layea🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏

[@JitendraGupta-n6b8z]

haan yaar

[@JitendraGupta-n6b8z]

bahut Haan

[@DevKumar-mq8bd]

I m from class 10 but still watching this

[@lovedrug9128]

Copied from Presh Telwakwar Channel.

[@V__K__VINES]

Sir why u left physics wallah sir 😕😕

[@rajsekharari1922]

Please keep going this type video

[@whitepudding007]

Mind your decision

[@geniusfact5003]

I love you sir

[@meesiddu99]

This is not 8th que in my paper it was the first. Que of paper 1 dhimag hila daala