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The number of points, having both co-ordinates as integers, that lie in the interior of the triangle with vertices `(0, 0)`, `(0, 41)` and `(41, 0)` is (1) `901` (2) `861` (3) `820` (4) `780`. |
Answer» `x/a+y/b=1` `x/41+y/41=1` `1/41+40/41=1` first point=(39,1) `=sum_(i=1)^39=(i(i+1))/2` `=(39(89+1))/2` `=(39*90)/2` =780 Units. |
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