Lettheco−ordinatesofthepointPbeP(x,y)whichdividesthelinesegmentJLjoiningthepointsJ(x1,y1)=(4,−5)&L(x2,y2)=(−6,7)intheratiom:n=3:5.Then,bythesectionformula,x=nx1−mx2n−m=5×4−3×(−6)5−3=19andy=ny1−my2n−m=5×(−5)−3×75−3=−23∴P(x,y)=P(19,−23).Ans−P(x,y)=P(−67,2).