AP EAMCET · Maths · Circle
The length of the transverse common tangent of the circles \(x^2+y^2-2 x+4 y+4=0\) and \(x^2+y^2+4 x-2 y+1=0\) is
- A \(\sqrt{3}\)
- B \(\sqrt{17}\)
- C \(\sqrt{15}\)
- D 3
Answer & Solution
Correct Answer
(D) 3
Step-by-step Solution
Detailed explanation
\(S_1: x^2+y^2-2 x+4 y+4=0\) Centre, \(\quad C_1(1,-2)\) and \(r_1=1\) and \(S_2: x^2+y^2+4 x-2 y+1=0\) Centre \(\quad C_2(-2,1)\) and \(r_2=2\) Distance between centres, \(d\) is…
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