IPMAT Indore 2023 QASA: In the xy-plane let A = (- 2, 0), B = (2, 0). Define the set S as the co ...

In the xy-plane let A = (- 2, 0), B = (2, 0). Define the set S as the collection of all points C on the circle x^2 + y^2 = 4 such that the area of the triangle ABC is an integer. The number of points in the set S is ______.
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