If a b # 0, prove that the points (a, az), (b, b2), (0,0)will not be c

1.	If a b # 0, prove that the points (a, az), (b, b2), (0,0)will not be collinear.
Answer» points A , B , C be collinear when ,slope of AB = slope of BC = slope of CA slope of AB = (b² - a²)/(b - a) = (b-a)(b + a)/(b-a)= a + b similarly,slope of BC = (c² - b²)/(c - b) = b + c slope of CA = c + a here it is clear that , slope of AB ≠ slope of BC ≠ slope of CA so, points A, B , C are never be collinear. hlo

If a b # 0, prove that the points (a, az), (b, b2), (0,0)will not be collinear.

Answer»

points A , B , C be collinear when ,slope of AB = slope of BC = slope of CA

slope of AB = (b² - a²)/(b - a) = (b-a)(b + a)/(b-a)= a + b similarly,slope of BC = (c² - b²)/(c - b) = b + c slope of CA = c + a

here it is clear that , slope of AB ≠ slope of BC ≠ slope of CA so, points A, B , C are never be collinear.

hlo