AP EAMCET · Maths · Circle
Find the minimum radius of the circle which is orthogonal to both the circles \(x^2+y^2+4 x+3=0\) and \(x^2+y^2-12 x+35=0\).
- A 1
- B 4
- C \(\sqrt{17}\)
- D \(\sqrt{15}\)
Answer & Solution
Correct Answer
(D) \(\sqrt{15}\)
Step-by-step Solution
Detailed explanation
Centre of circle cuts the circles \(\begin{aligned} S_1: x^2+y^2+4 x+3 & =0 \\ S_2: x^2+y^2-12 x+35 & =0 \end{aligned}\) Radical Axis is \(S_1-S_2=0 \Rightarrow x=2\) and \((2,0)\) lies on the line segment joining centres of circles \(S_1\) and \(S_2\) Minimum radius \(=\)…
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