Www
B) Find the coordinates of the points of trisection of the line segment joining the points A(-6.0) and
B(-9.6)
Answers
The coordinates of the points of trisection of the line segment joining the points A (- 6, 0) and B (- 9, 6) is (- 8, 4)
Step-by-step explanation:
The two given points are A (- 6, 0) and B (- 9, 6)
The point of trisection joining A and B also divides the line segment AB into the ratio 2 : 1
We have to find the point which divides AB in the ratio 2 : 1
If (x, y) be the coordinates of the required point, then
x = {1 (- 6) + 2 (- 9)}/(2 + 1)
= (- 6 - 18)/3 = - 24/3 = - 8
and y = {1 (0) + 2 (6)}/(2 + 1)
= (0 + 12)/3 = 12/3 = 4
Therefore the coordinates of the point of trisection is (- 8, 4)
Rule:
If the line segment joining the points P (x₁, y₁) and Q (x₂, y₂) is divided internally into the ratio m : n by another point R, then the coordinates of R be
( (nx₁ + mx₂)/(m₁ + m₂), (ny₁ + my₂)/(m₁ + m₂) )
Some other geometric problems:
https://brainly.in/question/13204144
https://brainly.in/question/13073351
https://brainly.in/question/13123402
https://brainly.in/question/13184476