CircleHard

Question

Number of points (x, y) having integral coordinates satisfying the condition x2 + y2 < 25 is -

Options

A.69
B.80
C.81
D.77

Solution

     
x2 + y2 < 25
Number of integral coordinate satisfying above
inequality in first quadrant is 13 i.e. (1, 1), (1, 2), (1, 3), (1, 4), (2, 1) (2, 2), (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (4, 1), (4, 2)
∴   Total number of integral coordinates are
13 × 4 + = 69

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