Published by:
CGP EDU Academic Team
Published on: August 12, 2026
The number of points with integral coordinates that are interior to the circle 
is
Text Solution
Verified by ExpertsThe correct answer is:
C
The number of points is equal to the number of integral solutions ( x, y ) such that 
.
So, x, y are integers such that 
satisfying the inequation 
. The number of selections of values of x is 7, namely –3, –2, –1, 0, 1, 2, 3. The same is true for y . So the number of ordered pairs ( x, y ) is 7×7. But (3, 3), (3, –3), (–3, 3), (–3, –3) are rejected because they do not satisfy the inequation 
So the number of points is 45.
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