Question

Find the coordinates of point which trisects the line joining (11,9) and (1,2).
please solve this question ...​

Answer 1

Answer:

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Step-by-step explanation:

Let P(x1 y1) and Q(x2, y2) are required points which is trisect the line segment joining the points

A(11, 9) and B(1, 2) respectively.

Let AP = PQ = BQ = x

PB = x + x = 2x

AQ = x + x = 2x

See 1st image

Hence point P divides line segment AB in the ratio 1 : 2 and point Q, divides the line segment Ab in the ratio 2 : 1.

By the section formula for point P, m1 = 1, m2 = 2

See 2nd image

∴ Hence the co-ordinate of point P is (23/3, 20/3)

for point Q, m1 = 2, m2 = 1

See 3rd image

So, the co-ordinate of Q = (13/3, 13/3)

Hence, required coordinate of point P and Q is (23/3, 20/3) and (13/3, 13/3) respectively.

Answer 2

Answer:

solution is attached as well as graphic simulation.