IPMAT Question Paper 2023 | IPM Indore Quantitative Ability

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Question 10 :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 $A B C$ is an integer. The number of points in the set $S$ is______.

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The question is "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 $A B C$ is an integer. The number of points in the set $S$ is______. "

Hence, the answer is '14'

 

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