Question

Find the coordinates of the points of
trisection of the line segment joining the
points (1, 2) and (-3, 4).
​

Answer 1

Answer:

Hey ☺️✌️

Step-by-step explanation:

✏️Let A(1, -2) and B(-3, 4) be the given points.

Let the points of trisection be P and Q.

Then AP = PQ = QB = λ (say)

∴ PB = PQ + QB = 2λ and AQ = AP + PQ = 2λ

⇒ AP : PB = λ:2λ=1:2 and AQ : QB = λ:2λ=2:1

So P divides AB internally in the ratio 1 : 2 while

Q divides internally in the ratio 2 : 1

∴ the co-ordinates of P are (1+21×−3+2×1,1+21×4+2×−2)or(−31,0)

and the co-ordinates of Q are (2+12×−3+1×1,2+12×4+1×(−2))or(−35,2)

Hence, the points of trisection are (−31,0)and(−35,2)

✒️Hope it helps ✌️☺️♥️...

Answer 2

I hope help you please mark me as brainnest