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find the point which divides the line joining (2,3)and (-1,4),internally in the ratio 2:1
Asked by umbarkarakash7 | 14 Jan, 2023, 10:57: AM
answered-by-expert Expert Answer
Figure shows the line joing the points A and B is divided by C in the ratio m : n .
 
Coordintaes of C is shown in terms of coordinates of A and B
 
coordintaes of point that divides the line joining (2,3) and (-1,4) in the ratio 2 : 1 is calculated as
 
 
begin mathsize 14px style open parentheses fraction numerator 2 left parenthesis negative 1 right parenthesis plus 2 over denominator 3 end fraction space comma space fraction numerator 2 left parenthesis 4 right parenthesis plus 3 over denominator 3 end fraction close parentheses space equals space left parenthesis 0 comma 3 right parenthesis end style
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