If the points A(a, 0), B(0, b) and C(1, 1) are collinear, prove that 
Since the points are collinear, the area they enclose is 0
Expanding with C1
→ 0 = a(b-1)+(-b)
→ 0= ab-a-b
→ a+b=ab
→ 
→ 
Hence proved
1
If the points A(a, 0), B(0, b) and C(1, 1) are collinear, prove that
Since the points are collinear, the area they enclose is 0
Expanding with C1
→ 0 = a(b-1)+(-b)
→ 0= ab-a-b
→ a+b=ab
→
→
Hence proved