1.

One and only one straight line can be drawn passing through two given points and we can draw only one triangle through non-collinear points. By integral coordinates (x,y) of a point we mean both x and y as integers . The sides AB, BC , CA of a triangles ABC have a, b and c interior points excluding vertices on their respectively . The number of triangles that can be b constructed using these interior points are vertices i

Answer»

`(ab+bc+ca)/(2)`
`sumab(a+B-2)`
`sumab(a+b)`
`""^(a+b+C)C_(3)-(""^(a)C_(3)+""^(b)C_(3)+""^(c)C_(3))`

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