Point ( 1 2 , , - 13 4 ) divides the line joining the points (3, … - Vidyadip

MCQ

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

✓
$1 : 3$ internally
B
$3 : 1$ internally
C
$1 : 3$ externally
D
$3 : 1$ externally

✓

Answer

Correct option: A.

$1 : 3$ internally

a
(a) Let the ratio be $k : 1$

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

Hence ratio is $1 : 3$ internally.

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