Explanation:Since the centre of circle O is at (-2, 1) and radius is 6
Let us go 6 units Left (-8, 1), Right (4, 1), Up (-2, 7) and Down (-2, -5)
Therefore,
integer values of x will lie between -8 and 4
i.e. 11 values in total
integer values of y will lie between 7 and -5
i.e. 11 values in total
Now, construct a square will each side 11 units
(Refer to the figure below)
Notice the number of points inside the square are (11)(11) = 121
But, the points inside the circle ) would be less.
Col. A: Value less than 121
Col. B: 128
Hence, option B
Attachments

Point (a, b) is a lattice point in xy-plane where, a and b are integers..png [ 41.8 KiB | Viewed 2361 times ]
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I hope this helps!
Regards:
Karun Mendiratta
Founder and Quant Trainer
Prepster Education, Delhi, Indiahttps://www.instagram.com/prepster_education/