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Question:
Find the co-ordinates of a point which divides the join of (2, –1) and (–3, 4) in the ratio of 2 : 3 internally.
Answer:

Given points are (2, -1) and (-3, 4)

Given ratio is 2:3

Now

 x = {2*(-3) + 3*2}/(2+3) = (-6 +6)/5 = 0

y =  {2*4 + 3*(-1)}/(2+3) = (8 - 3)/5 = 5/5 = 1

So (x, y) = (0, 1)

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