Q. 34.5( 12 Votes )

Let us calculate the ratio in which the point (1, 3) divides the line segment joining the point s (4, 6) and (3, 5).

Answer :

We know, By section formula



(where, m and n are the ratios(externally), (x1, y1) and (x2, y2) are the coordinates of the line segment, and (x, y) are coordinates of dividing point .)


Now taking in consideration the equation for x one only –



m – n = 3m – 4n


3n = 2m



(1, 3) divides the line segment joining the point s (4, 6) and (3, 5) in the ratio 3: 2 externally.


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