Mathematics

Mathematics

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

c) a pair of parallel lines with slope

1

d) a pair of parallel lines with slope

-1

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