Question

Find the coordinates of the points of trisection of the the line segment joining points A (-5,6) & B (4,-3).​

Answer 1

Answer:

Step-by-step explanation:

Let P and Q be the points of trisection of AB.

Then, P divides AB in the ratio 1:2.

So, the coordinates of P are

P(1×4+2×(−5)1+2,1×(−3)+2×61+2),i.e.,P(−2,3)

Also, Q divides AB in the ratio 2:1.

So, the coordinates of Q are

Q(2×4+1×(−5)2+1,2×(−3)+1×62+1),i.e.,Q(1,0)

Hence, the points of trisection of AB are P(-2, 3) and Q(1, 0).

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