AP EAMCET · Maths · Circle
The radical axis of any two circles is to the line joining their centres
- A Parallel
- B Perpendicular
- C Intersecting but not perpendicular
- D Can't be determined
Answer & Solution
Correct Answer
(B) Perpendicular
Step-by-step Solution
Detailed explanation
The radical axis of any two circles is perpendicular to the line joining their centres. Let, the equation of two circles are \(\begin{aligned} x^2+y^2+2 g_1 x+2 f_1 y+c_1 & =0 \\ x^2+y^2+2 g_2 x+2 f_2 y+c_2 & =0 \end{aligned}\) and \(x^2+y^2+2 g_2 x+2 f_2 y+c_2=0\) The equation…
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