Question

what is the distance between the points A(0,6) and B(0,-2)

Answer 1

Answer:

8 units

Step-by-step explanation:

A(0,6), B(0,2)

D = $\sqrt(x2-x1)^{2} + (y2-y1)$²

   = √(0 - 0)² + (-2-6)²

   = √8² = 8

Hence, the distance of AB = 8 units.

Answer 2

$\huge\rm\underline\pink{\underline{Solution:-}}$

Distance between any two points (x₁,y₁) and (x₂,y₂) is given by

$\large\rm\bold{\boxed{D\:=\:\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}}$

Distance between A(0,6) and B(0,-2) is

$\large\rm{D\:=\:\sqrt{(0-0)^2+(-2-6)^2}}$

$\large\rm{\implies{D\:=\:\sqrt{64}\:=\:8\:units}}$

∴ Distance between the points A(0,6) and B(0,-2) is 8 units