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Question: Point \(\left( \frac{1}{2},\frac{- 13}{4} \right)\)divides the line joining the points \((3, - 5)\) ...

Point (12,134)\left( \frac{1}{2},\frac{- 13}{4} \right)divides the line joining the points (3,5)(3, - 5) and (7,2)( - 7,2) in the ratio of .

A

1 : 3 internally

B

3 : 1internally

C

1 : 3 externally

D

3 : 1externally

Answer

1 : 3 internally

Explanation

Solution

Let the ratio be k : 1

Therefore, 7k+3k+1=12k=13\frac { - 7 k + 3 } { k + 1 } = \frac { 1 } { 2 } \Rightarrow k = \frac { 1 } { 3 } .

Hence ratio is 1 : 3 internally.