Q17 of 53 Page 122

Given A(4,-3), B(8,5). Find the coordinates of the point that divides segmentAB in the ratio 3 : 1.

A point P(x,y) divides the line formed by points (a,b) and (c,d) in the ratio of m:n, then the coordinates of the point P is given by


and


X coordinate = = 7


Y coordinate = = 3


Hence the point is (7,3)


More from this chapter

All 53 →
15

Show that A(4, -1), B(6, 0), C(7, -2) and D(5, -3)are vertices of a square.

 16

Find the coordinates of circumcentre and radius of circumcircle of triangle ABC ifA(7, 1), B(3, 5) and C(2, 0) are given.

 18

Find the type of the quadrilateral if points A(-4, -2), B(-3, -7) C(3, -2) andD(2, 3) are joined serially.

 19

The line segment AB is divided into five congruent parts at P, Q, R and S suchthat A-P-Q-R-S-B. If point Q(12, 14) and
S(4, 18) are given find thecoordinates of A, P, R,B.