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Find the coordinates of the point which divides the line segment joining the points A (4,6),B (-3,1) in the ratio 2:3 internally. Find also the coordinates of the point which divides bar(AB) in the same ratio externally. |
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Answer» Solution :The COORDINATION of the point P is ` `((mx_2+nx_1)/(m+n),(my_2+ny_1)/(m+n))` `(6/5,20/5)=(6/5,4)` If the point C divides `bar^AB` externally in the RATIO 2:3, then the COORDINATES of the point C is `((mx_2+nx_1)/(m-n),(my_2-ny_1)/(m-n))` `((2(-3)-3.4)/(2-3),(2.1-3.6)/(2-3))` `((-6-12)/-1,(2-18)/-1)=(18,16)`. |
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