1is "a" an integer??
If point(x,y) is called a lattice point if x,y belong to set of integers.Then total number of lattice points in the interior of circle x^2 +y^2= a^2 :a not equal to zero , are............
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14 Answers
62no anirudh..
u have to find the points in the interior .. not on the circle..
even then if a=5.. then (3,4) wud be a solution!!
Hint: The answer is by a summation of series
33I got this question for a specific a in one olympiad or sumthing like that a was small say 5 or so so i counted the points :P
62hmm..
yeah ;)
I wud have done the same..
and i thought we could generalise.. but not sure either ;)
1[(2(a2/2)1/2+1)2]
greatest integer function .. This includes the lattice points on the circle too though.... please check
33hmmm super formula...
in simpler terms [(√2a+1)2]
I don't know.... if its correct ?? [7]
1Lol i didn't solve .. I mean i just saw some graphs and got this one. .. I don't know if it is correct always ... and this one includes thepoints on the circle ...
62no dude.. this is not the solution..
take a=1
the answer should be 1!!
1I said it includes the points on the circle... if you take 1, then it also includes (0,1),(1,0),(0,-1),(-1,0) and (0,0)
