1.

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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