TS EAMCET · Maths · Circle
In the List-I each item contains equations of two circles, List-II contains the number of common tangents for each pair of circles given in List-I. Match the items of List-I with those of the items of List-II 
The correct match is \(\text { A } \quad \text { B } \quad C \quad \text { D }\) The correct match is
- A V I III II
- B IV I III II
- C IV V III II
- D III IV I IV
Answer & Solution
Correct Answer
(C) IV V III II
Step-by-step Solution
Detailed explanation
A. \(x^2+y^2+2 x+8 y-23=0\) \(\begin{aligned} & C_1(-1,-4), r_1=2 \sqrt{10} \\ & x^2+y^2-4 x-10 y+19=0 C_2(2,5), r_2=\sqrt{10} \\ & C_1 C_2=\sqrt{3^2+9^2}=\sqrt{90}=3 \sqrt{10}=r_1+r_2=3 \sqrt{10} \end{aligned}\) \(\therefore 3\) tangents B. \(x^2+y^2=1, C_1(0,0), r_1=1\)…
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