If the point C(-1,2) divides internally the line segment joining A (2,5) and B in
the ratio 3: 4,find the co-ordinates of B.
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If the point C(-1,2) divides internally the line segment joining A (2,5) and B in
the ratio 3: 4,find the co-ordinates of B.
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☯ Let the Co-ordinate of point B be (x, y) and AC: BC = 3:4.
DIAGRAM:
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Given that,
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☆ Section Formula
Let us consider a line segment joining the points
Let C(x, y) be the point which divides the line segment joining A and B, in the ration m : n, then coordinates of C is given by
☆ The point C(-1,2) divides internally the line segment joining A (2,5) and B in the ratio 3: 4.
Using Section Formula,
☆ On substituting the values of
☆ we get