Points and are fixed

MATHEMATICS · Subjective · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

Points

P(1,1)

and

Q(5,5)

are fixed. Point

R

has coordinates

(k,1)

and point

S

has coordinates

(1,6)

. If the areas of triangles

PQR

and

PQS

are equal, determine the possible values of

k