TS EAMCET · Maths · Circle
The number of common tangents to the circles \(x^2+y^2+4 x=0\) and \(x^2+y^2-2 x=0\) is
- A 4
- B 3
- C 2
- D 1
Answer & Solution
Correct Answer
(B) 3
Step-by-step Solution
Detailed explanation
Here, \(x^2+y^2+4=0\) \( \therefore \quad c_1=(-2,0) \text { and } r_1=2 \) \( \begin{aligned} x^2+y^2-2 x & =0 \\ c_2(1,0) \text { and } r_2 & =1 \\ c_1 c_2 & =\sqrt{9+0}=3 \\ r_1+r_2 & =3 \Rightarrow c_1 c_2=r_1+r_2 \end{aligned} \) \(\therefore\) Number of common tangent…
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