Answer :

Let the line segment joining the points A (–4, 0) and B (0, 6) be divided into 4 parts by points P (x1, y1), Q (x2, y2) and R(x3, y3).


Clearly, P divides the line segment AB internally in the ratio1:3.


By internal division formula,


x1 = = –3


y1 =


Again, Q divides the line segment AB internally in the ratio 1:1.



By mid–point formula,


x2 = = –2


y2 = =3


Also, R divides the line segment AB internally in the ratio3:1.


By internal division formula,


x3 = = –1


y3 =


The required points are P , Q (–2, 3)and R .


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