TS EAMCET · Maths · Circle
A circle \(S=x^2+y^2+2 g x+2 f y+4=0\) cuts the circle \(x^2\) \(+y^2-4 x-4 y-4=0\) orthogonally and makes an angle of \(60^{\circ}\) with the circle \(x^2+y^2+4 x+4 y+4=0\). Then the radius of the circle \(\mathrm{S}=0\) is
- A 4
- B 3
- C 5
- D 1
Answer & Solution
Correct Answer
(A) 4
Step-by-step Solution
Detailed explanation
2 circles cut orthogonally then \[ \begin{aligned} & 2 g_1 g_2+2 f_1 f_2=C_1+C_2 \\ \Rightarrow & 2 g(-2)+2 f(-2)=4-4 \\ \Rightarrow & g+f=0 \end{aligned} \] Also angle between circles,…
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