IIT JAM (2022) | Mathematics | Full Paper Solution | Part-2

IIT JAM (2022) | Mathematics | Question Paper
IIT JAM (2022) | Mathematics | Answer Key
#IIT_JAM #Mathematics
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[SutapaSarkar-nu]

In question 27 you put 0/0 =0 and use L hospital rule for ♾️/♾️ . There's no logic behind it

[trishanksaharia]

Q. 22 ka solution bhi galat hain aur tarika bhi. First all H(x)=cos(hx)=cos(ix) hain naa ki "cos(x)". Hum log integration lagake nahi solve kar sakte kyunki "i" waala term aa jaayega f(x) ki value mein BUT "f" is a function from R-->R ....so not allowed ...and woh bhi if hum log itne complicated integral se luckily f(x) ki value nikaalle kisi tarah se ..Secondly, Yeh question dikhne mein Integration ka question lagta hain lekin actually hain Series Expansion and differentiation ka question hain. Integral calculus ka question hain hi nahi. Kaafi tricky question hain. (e^x+e^(-x)/2) ko infinite series form mein likhna hoga i.e, Tabhi H(xsin(theta)) ko above series form mein likh sakenge...iska faida yeh hoga ki f(x) mein H(xsin(theta)) ki value above series form mein put karne par saare "x" waale terms har ek integral ke baahar aa jayega. Ab directly normal differentiation rule for 1 variable laaga kar f'(x) aur f"(x) nikaal sakenge in series form as differentiation sirf "x" waale terms pe lagenge jo sab integrals ke baahar hain aur integrals ke andar differentiation ki zaroorat nahi padegi since saare "x" terms integral ke baahar honge aur sirf "theta" waale terms integral ke andar honge. Iske baad har ek option ko check karna hoga by doing the series subtraction/addition respectively of the three series "xf"(x)", "f'(x)" and "xf(x)". So usko accurately karne mein bhi bahaut saara time aur dimaag lagega. Isliye 2 marks ka question hain.

[math.x_]

In Q 30 use spectral decomposition.. Answer comes out in 3 lines maximum

[RAHUL-znsx]

57:17 integration 0 to x keise likhe samjh nehi aya, koi samajha do please

[sanchitkumar]

Sir in question 32 in option b it says that f'(1/2)=0 for every f but it is not satisfying the first f(x) that you took so how can (b) be true

[souvikkarak]

Sir how can u write (e^x +e^-x)/2=cosx..as per q. No 22..we all know that (e^ix + e^-ix)/2=cosx.. 😇

[priyashakya]

In question 22 H = cosh(xsin theta) not cos

[VasaniFoundation]

Q21 ka solution k recording thise nahi hua uska solutions par video bana dijiye

[Ayaankhan-pudt]

Sir you r awesome..sir may be itne Sare question krte hoge to dimag hang hona h..isiliye in question 39 apne linear transformation hi glt open ki h... Whan for k = 2 k liye Transformation T(x) hogi isi trh T(x(x-1)) for k=2 k liye similarly isi process.. Se age ki hongi... Agr mein glt hun to sir maaf krna but plz comment mein explain kr dena..

[mathsrelated]

Sir.. Question number 24 me... U37 to under multiplication me group banaiga... To wo isomorphic to Z36 kya multiplication me ya addition me group banaiga... Explain it

[shailygupta]

Question 37 ka explanation bahut jyada acha hai

[shreyakumari]

In question number 29 how you expand integrand.

[nikhiljaiswal]

ques 22 me cos h hyperbolic hoga na ?

[kasikanagala]

In question 21 how it will be even function

[mamtamahtolia]

Sir questions no 23 me option b m apne bola cosx bounded hai. So B glt ho gya ...or fir option A m bola ki all solution unbounded hai ....kese??

[vipingupta]

I think explanation of question no. 32 is wrong, pls check it again, by taking an example you can only discard the options you can't claim that option is true.