Question

The radical axis of the circles $x^2+y^2+4x-6y-12=0$ and $x^2+y^2+2x-2y-1=0$ divides the line segment joining the centres of the circles in the ratio

• A. $27:17$
• B. $3:7$
• C. $-27:17$
• D. $-3:7$

Answer 1

The correct option is C $-27:17$

Radical axis equation is
$S_1-S_2=0$
$\Rightarrow 2x-4y-11=0$
$C_1=(-2,3)$ and $C_2=(-1,1)$
Ratio $=-\frac{L_1}{L_2}=-\left(\frac{-4-12-11}{-2-4-11}\right)=\frac{-27}{17}$