Question

Which of the following is equivalent to the distance between the points (3,2) and (2,0)?

Answer 1

The distance between any 2 points P(a,b) and Q(c,d) in the coordinate plane, is given by the formula:


`|PQ|= \sqrt{ (a-c)^(2) + (b-d)^(2) }`

Thus, the distance between points (3,2) and (2,0) is:


`d= \sqrt{ (3-2)^(2) + (2-0)^(2)}=√(1 + 4)= √(5)`


Answer:
`√(5)` units