From a point on a flat ground

MATHEMATICS · Multi-part · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

From a point

O(2,-1)

on a flat ground, two straight paths lead to two shops situated at

A\left(-\dfrac{5}{2},\,3\right)

and

B\left(4,\,-\dfrac{7}{2}\right)

. (i) Find the distance

OA

in its simplest surd form. (ii) Find the distance

OB

in its simplest surd form. (iii) Which shop is nearer to

O

? Give a brief justification based on your results.