Q.

The number of points with integral co-ordinates that are interior to the circle x2+y2=16, is _____

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answer is 45.

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Detailed Solution

The no of points with integral co-ordinates that are interior to the circle x2+y2=16 is 

Question Image

s=x2+y216=0 x=1

s11<0 x2+y216=0

1,11,21,3

2,12,22,3

3,13,2

8×4=32

On x-axis, y-axis

1,02,03,0

3×4=12 and 0,0

Total = 45

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