IPMAT Indore 2023 (SA) - 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 | PYQs + Solutions | AfterBoards
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IPMAT Indore 2023

Geometry
>
Circles

Hard

In the xy-plane let A=(−2,0),B=(2,0)A = (- 2, 0), B = (2, 0) . Define the set S as the collection of all points C on the circle x2+y2=4x ^ 2 + y ^ 2 = 4 such that the area of the triangle ABC is an integer. The number of points in the set S is

Entered answer:

Correct Answer: 14

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