Let and be two fixed points

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

Problem

Let

A(2,3)

and

B(-4,7)

be two fixed points. A point

P(x,y)

moves in the plane such that the area of

\triangle APB

12

square units. (i) Derive the equation satisfied by the coordinates

(x,y)

of the point

P

. (ii) Identify the geometrical nature of this locus. (iii) Calculate the perpendicular distance between the two lines obtained in part (i).