Points (1/2, - (13/4)) divides the line joining the points (3, - 5) and (-7, 2) in the ratio of

1) 1 : 3 internally

2) 3 : 1 internally

3) 1 : 3 externally

4) 3 : 1 externally

5) None of these

Solution: Option (1) 1:3 internally

Assume that the ratio be k:1

[ (-7k +3) /(k+1) ] = ½

On solving this, we get

k= ⅓

Hence, the ratio is 1:3 internally.

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