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Number of points with integral co-ordina...

Number of points with integral co-ordinates that lie inside a triangle whose co-ordinates are (0, 0), (0, 21) and (21,0).

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Total number of points within the square `OACB=20xx20=400` there are 20 points on the line AB which are `(1,20), (2,19),......(20,1)`.
`therefore` Points within `Delta OAB` and `DeltaABC= 400-20=380` by symmetry, points within `DeltaOAB=(380)/(2)=190`
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