Question

In which choice do all three points lie on the same straight line?

A (0, 1), (–1, 3), (1, 3)
B (4, 2), (2, 1), (4, –2)
C (0, 0), (8, 0), (0, 8)
D (1, 2), (2, 4), (4, 8)

Answer 1

D (1, 2), (2, 4), (4, 8)

Explanation:

Hope this helps

Answer 2

D

Explanation:

we'll use the complex number system to solve this exercice

the coordinates of the last triplet are : (1,2) , (2,4) and (4,8) The affixes are then

`1 + 2i = a \\2 + 4i= b = 2a \\4+8i = c = 2b = 4a`

for the points to be aligned the fraction
`(c-a)/(b-a)` should be a real number

`(c-a)/(b-a) = (4a-a)/(2a-a) = (3a)/(a) = 3`

so the points are aligned