Question

The ratio in which line 3x - y - 9 divides the line segment joining point (1,3) and (2,7)

• A. $-910$ externally
• B. $910$ internally
• C. $35$ internally
• D. $35$ externally

Answer 1

The correct option is A $-910$ externally

Let the ratio be $k:1$

$\Rightarrow a=\frac{2k+1}{k+1}$, $b=\frac{7k+3}{k+1}$

& P lies on given line

$\Rightarrow \frac{6k+3}{k+1}=\frac{7k+3}{k+1}=9$

$\Rightarrow -k=9k+9$

$\Rightarrow 10k=-9$

$\Rightarrow k=\frac{-9}{10}$

$\Rightarrow \left(A\right)$.