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

Step-by-step explanation:

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

.