Question

Find the coordinates of trisection of the line segment joining the points A (1, - 2) and B (3, - 4). Please it's urgent

Answer 1

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Answer 2

Hello dear,



Given line segment joining the points

A(1,-2)and B(3,-4)

Let P and Q be the points of trisection of AB

AP = PQ = QB


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



, the coordinates of P, by applying the section

formula, are

 m x 2 + n x 1 m + n , m y 2 + n y 1 m + n   . 

= [{1(3) + 2(1)} / (1 + 2), {1(-4) + 2(-2)} / (1 + 2)],

= (5 / 3, - 8/3)

Now,

Q also divides AB internally in the ratio 2 : 1.


So,

the coordinates of Q are

= [{2(3) + 1(1)} / (1 + 2), {2(-4) + 1(-2)} / (1 + 2)], = (7/3, - 10/3)

, the coordinates of the points of trisection of the line segment joining

A and B are(5 / 3, - 8/3) and (7/3, - 10/3).

I HOPE ITS HELP YOU DEAR,
THANKS