Question

The ratio in which the segment joining the points A (4 , –1 ) and B(–2, 4) is divided by the point (7/4, 7/8) is

(a) 4:5
(b)3:7
(c)2:5
(d)3:5

answer with solved proof

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Answer 1

Answer:

ANSWER

Let the point (−1,−1) divide the line joining AB in the ratio (n:m). It is clear that (−1,−1) divides the line segment externally.  

Then application of section formula gives us,

(−1,−1)=[  

m−n

m(4)−n(7)

​  

,  

m−n

m(4)−n(7)

​  

].  

Comparison of the x-coordinates give us,

−1=  

m−n

4m−7n

​  

 or −m+n=4m−7n  

Or 5m=8n or  

m

n

​  

=  

8

5

​  

.

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