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Ask iit jee aieee pet cbse icse state board community Discussion Response Post to: circles
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[Post New]15 Apr 2008 18:13:44 IST
    Subject: Re:circles
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sboosy (3046)

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Olaaa!! Perrrfect answer. 536  [719 rates]
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\mbox{We require integral solutions of} \ x^2+y^2<16 \\ \\ \mbox{to obtain the integral pts. within the circle} \\ \\ \mbox{Possibilities are} \ (0,1),(0,2),(0,3) \\ \\ \mbox{Now x and y coordinates can interchange} \\ \\ \mbox{Also we could have them as negative} \\ \\ 3*4 = 12 \\ \\ \mbox{Doing the same multiplication for} \ (1,1),(1,2),(1,3),(2,2),(2,3) \\ \\ \mbox{we get} \ 32 \ \mbox{cases} \\ \\ \mbox{Now adding} \ (0,0) \\ \\ \mbox{We get the final answer as} \ 45
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