Question

4. Find the co-ordinates of poOints of trisection of the line segment joining the point (6, -9) and the origin.​

Answer 1

Answer:

(4,-6) and (2,-3)

Step-by-step explanation:

Let P and Q be the points of trisection of the line segment joining A (6,-9) and B (0,0).P divides AB in the ratio 1:2.Therefore,the coordinates of the point P are:

={1x0+2x6/1+2,1x0+2x(-9)}

=(12/3,-18/3)

=(4,-6)

Q divides AB in the ratio 2:1, therefore,the coordinates of point Q are:

=(2x0+1x6/2+1,2x0+1/2+1)

=(6/3,-9/3)

=(2,-3)

Thus,the required points are (4,-6) and (2,-3).