Question

The line $x+y=4$ divides the line joining the points $(-1,1)$ and $(5,7)$ in the ratio

• A. $2:1$
• B. $1:2$
• C. $-1:2$
• D. None of these

Answer 1

The correct option is B $1:2$

In given straight line $x+y+c=0$ divides the join of points $A(x_1,y_1);B(x_2,y_2)$ in a ratio.

Substituting point coordinates in line,

$\frac{5k+1(-1)}{k+1}+\frac{7k+1}{k+1}=4$

$\therefore k=\frac{1}{2}$

Required ratio $k:1$$=\frac{1}{2}:1$ or $1:2$