i hav AD i ll chek
let f(x,y) be a periodic function satisfying the condition f(x,y)=f((2x+2y),(2y-2x)) x,y →R now define a function g by g(x)=f(2x,0) .
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17 Answers
I commented once on thsi one and then deleted..
I remember a very wonderful question on this one from A Dasgupta..
I dont remember the exact question otherwise I wud have given it..
I am sure Amit you are missing something out!
wel...........y=x....and 2x=4x..........hehe thts all i cud make out...
so x=4 hehe
ok gr8, there is g(x) = f(2x,0). incidentally defined by you.
Now how can we help you? What is it you want?
no options are given and prophet i have given in the question that f(x,y) is a periodic function
amit you will have to be clear. and please dont answer in monosyllables
eg. post no.6 should ideally have been: "I am afraid no options have been given" instead of a curt "no" which could be interpreted as "Options are there, but I dont care to give them to you".
Please clarify:
(a) Is it given in the original problem that f is periodic? Please check
(b) What is it you want us to find about g(x)?
wel i have a doubt..........
in this question
when we take x=y=1....
then f(1)=(4,0)
but...g(1)=(2,0).........but f(1)=(4,0).......man i cant understnad