Question

Distance between the points (-8/5, 2) and (2/5, 2) is *


(a) 3

(b) 2

(c) 4

(d) 5

​

Answer 1

Answer:

option (b) 2

Step-by-step explanation:

Given points,

(-8/5, 2) and (2/5, 2)

Let  x₁ = -8/5 ; y₁ = 2

      x₂ = 2/5 ; y₂ = 2

Distance between two points is given by the formula,

$\boxed{\bf =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}$

$=\sqrt{(\frac{2}{5}-[\frac{-8}{5}])^2+(2-2)^2} \\\\ = \sqrt{(\frac{2}{5}+\frac{8}{5})^2+0} \\\\=\sqrt{(\frac{10}{5})^2} \\\\ =\sqrt{2^2} \\\\ =2 \ units$