Q. 93.9( 10 Votes )

The joint P (5, - 3) is one of the two points of trisection of line segment joining the points A (7, - 2) and B (1, - 5).

Answer :

True

Let P (5, - 3) be the point which divides the line segment joining the points A (7, - 2) and B (1, - 5) in the ratio k:1 internally.


By using the section formula,


The coordinate of point



Given coordinate of P = (5, - 3)


So,




k + 7 = 5k + 5


- 4k = - 2


k = 1/2


So the point P divides the line segment AB in ratio 1:2


Hence, Point P in the point of trisection of AB.


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