For fixed points and

MATHEMATICS · Single correct · CBSE · Mathematics · Straight Lines · Straight Lines

Problem

For fixed points

A(-1,-2)

and

B(3,2)

, a point

P(x,y)

moves such that the area of

\triangle PAB

remains

8\,\text{square units}

. The locus of

P

is (a) a circle with centre at the midpoint of

AB

(b) a straight line with slope

1

1

(d) a pair of parallel lines with slope

-1