Let and be fixed points

MATHEMATICS · Single correct · ISC · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

Let

A(1,2)

and

B(4,3)

be fixed points. The locus of point

P

such that

\text{area}(\triangle APB)=6\text{ square units}

consists of two parallel straight lines. The common slope of these lines is (a)

3

(b)

-\dfrac{1}{3}

(c)

\dfrac{1}{3}

(d)

-3