Coordinate Circle; how many points possible

[700plus2010]

Hello,

please help me.

Point (a,b) is on the circle represented by x2+y2=10, and a ,b are integers. How many such points are possible?

[devp]

3² + 1² = 10

So the set of points is { (3,1), (1,3), (-3,1), (1,-3), (-3,-1), (-1,-3), (-1,3), (3,-1) }

Therefore 8 points.

[ShivS]

3^2 + 1^2 = 10

Hence 2 variable and the possibility on coordinate plane is 2^2 + 2^2 = 8.

[meticulousboy]

Yes, that's right... 2 per quadrant for 4 quadrants.