15 Answers
Abhishek which of these could you not solve?
I did not comment on the no of questions.. bcos i am myself not very sure... the questiosn are good no doubt :)
may be we can skip geometry
hey 6 is simple
find f(0,0) .. and then proceed..
Not as tough as u may think!
put x=y=z
f(x,x) =1
put y=z
f(x,y)f(y,y)f(z,x)=1
f(x,y)f(y,x)=1
f(x+2,x+1)f(x+1,x)f(x,x+2)=1
2.2.f(x,x+2)=1
f(x,x+2)=1/4
f(x+2,x)=4
f(0+2,0)=4
following thus, we get f(m,n)=2m-n
a couple of induction steps remain in between .. that i have left for u to figure out :)
Results out..
[1] me 18 th
(last from my school [2] )
6 from our school (XI+XII) in india top 34
5 from our section... in it
[1]
can anyone post the solutions of all these problems and also the junior paper IX X