1) Distance Formula 1-D

Which distance formulas will work equally well for the closest points problem in one dimension where the y-coordinate is always zero? Let a pair of points be denoted by (xi, yi) and (xj, yj). Assume that we just need the closest pair and not necessarily the actual distance.

Multiple answers:You can select more than one option

A) |xi - xj|

B) |yi - yj|

C) sqrt((xi-xj)^2 + (yi-yj)^2)

D) ((xi-xj)^2 + (yi-yj)^2)

E) sqrt((xi-yi)^2 + (xj-yj)^2)

F) ((xi-yi)^2 + (xj-yj)^2)

2) Distance Formula 2-D

Which distance formulas will work equally well for the closest points problem in two dimensions? Let a pair of points be denoted by (xi, yi) and (xj, yj). Assume that we just need the closest pair and not necessarily the actual distance.

Multiple answers:You can select more than one option

A) |xi - xj|

B) |yi - yj|

C) sqrt((xi-xj)^2 + (yi-yj)^2)

D) ((xi-xj)^2 + (yi-yj)^2)

E) sqrt((xi-yi)^2 + (xj-yj)^2)

F) ((xi-yi)^2 + (xj-yj)^2)

Please, include explanation with the answer.