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GAIC Math 2024 Problem 141

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Let A={−3,−2,⋯ ,4},a,b,c∈AA=\{-3,-2, \cdots, 4\}, a, b, c \in A be distinct elements of A. If the angle of inclination of the line: ax+by+c=0a x+b y+c=0 is acute, then the number of such distinct lines is _____.

Dataset text MathOdyssey. Open licence.

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