A rectangular playground has its vertices at ,

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

Problem

A rectangular playground has its vertices at

P(1,2)

Q(1,8)

R(9,8)

and

S(9,2)

in the coordinate plane. (i) Calculate the length of the diagonal

PR

. (ii) Write the value of

(PR)^2

without evaluating the square root. (iii) A drinking-water tap is to be fixed exactly at the midpoint of side

QR

. Determine the coordinates of this point.