Question

Find the distance of the line segment joining the two points (-4 /2 - /12) and (/32, 2/3)

Answer 1

Answer:
`4√(3)` .

Explanation:

Distance formula : Distance between points (a,b) and (c,d) is given by :-

`D=√((d-b)^2+(b-a)^2)`

Distance between points
`(-4√(2),√(12)) \text{ and }(-√(32), 2√(3))`.

`D=\sqrt{(2√(3)-(-√(12)))^2+(-√(32)-(-4√(2)))}\\\\=\sqrt{(2√(3)+√(2*2*3))^2+(-√(4*4*2)+4√(2))^2}\\\\=\sqrt{(2√(3)-√(2^2*3))^2+(-√(4^2*2)+4√(2))^2}\\\\=\sqrt{(2√(3)+2√(3))^2+(-4√(2)+4√(2))^2}\\\\=\sqrt{(4√(3))^2+0}\\\\=4√(3)\text{ units}`

Hence, the correct option is
`4√(3)` .