A point lies on the straight line

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

Problem

A point P(x,y)P(x,y) lies on the straight line 2x−3y+1=02x-3y+1=0. Points Q(5,4)Q(5,4) and R(−2,−6)R(-2,-6) are fixed. If the area of triangle PQRPQR is 4545 square units, (i) Set up the system of equations that must be satisfied by xx and yy. (ii) Solve the system to obtain the possible coordinates of PP.

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