Let , and be three points in the…

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

Problem

Let

P(2,-1)

Q(6,3)

and

R(-1,4)

be three points in the plane. (i) Calculate the value of

S=2A

, where

A

is the (signed) area of

\triangle PQR

. (ii) State whether the vertices

P,Q,R

are ordered clockwise or anticlockwise. (iii) Hence find the magnitude of the area of

\triangle PQR