TS EAMCET · Maths · Circle
The number of common tangents to the circles \(x^2+y^2-2 x-6 y+9=0\) and \(x^2+y^2+6 x-2 y+1=0\) is
- A \(1\)
- B \(2\)
- C \(3\)
- D \(4\)
Answer & Solution
Correct Answer
(D) \(4\)
Step-by-step Solution
Detailed explanation
\[ S_1: x^2+y^2-2 x-6 y+9=0 \] Centre \(C_1:(1,3)\) Radius \(\eta_1=\sqrt{1+9-9}=1\) \[ S_2: x^2+y^2+6 x-2 y+1=0 \] Centre \(C_2:(-3,1)\) Radius \(r_2=\sqrt{9+1-1}=3\)…
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