AP EAMCET · Maths · Circle
The number of common tangents to the circles \(x^2+y^2-4 x-2 y+k=0\) and \(x^2+y^2-6 x-4 y+l=0\), having radii 2 and 3 respectively, is
- A 4
- B 2
- C 3
- D 1
Answer & Solution
Correct Answer
(B) 2
Step-by-step Solution
Detailed explanation
Given circle are, \[ \begin{gathered} x^2+y^2-4 x-2 y+k=0 \\ \therefore \quad \text { Centre } c_1(2,1) \text { and } r_1=2 \\ \quad x^2+y^2-6 x-4 y+l=0 \end{gathered} \] Centre \(c_2(3,2)\) and \(r_2=3\)…
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