1. Consider a triangle drawn on the X-Y plane with its three vertices at (41, 0), (0, 41) and (0, 0), each vertex being represented by its (X,Y) coordinates. The number of points with integer coordinates inside the triangle (excluding all the points on the boundary) is
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By: anil on 05 May 2019 02.29 am
The number of points on x = 1 is 39. The number of points on x = 2 is 38 and so on till x = 39, which has one point. So, the total is 1+2+3+...+39 = $$frac{39*40}{2}$$ = 780.
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