Question

The line segment joining the points (3, -1) and (-6, 5) is trisected. The coordinates of point of trisection are 

(- 3, 3)

(3,3)

(-3,3)

(5,2)​

Answer 1

Answer:

the correct answer is (-3,3)

Answer 2

Solution :-

Let us assume that, Point P(x, y) divides the line segment in the ratio 2 : 1 . { since trisection divides the line segment in the ratio 1:2 or 2 :1 internally. }

so,

→ x = (m1x2 + m2x1)/(m1+m2)

→ x = {2 * (-6) + 1 * 3} / (2 + 1)

→ x = (-12 + 3)/3

→ x = (-9/3)

→ x = (-3)

and,

→ y = (m1y2 + m2y1)/(m1+m2)

→ x = {2 * 5 + 1 * (-1)} / (2 + 1)

→ x = (10 - 1)/3

→ x = (9/3)

→ y = 3

therefore, The coordinates of point of trisection are (-3 , 3) .

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