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One and only one straight line can be dr...

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 number of points in the cartesian plane with integral coordinates satisfying the inequalities `|x|le 4 , |y| le 4 and |x-y| le 4` is

A

`(ab+bc+ca)/(2)`

B

`sumab(a+b-2)`

C

`sumab(a+b)`

D

`""^(a+b+c)C_(3)-(""^(a)C_(3)+""^(b)C_(3)+""^(c)C_(3))`

Text Solution

Verified by Experts

The correct Answer is:
D
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