AP EAMCET · Maths · Circle
The equation of the circle which cuts all the three circles \(4(x-1)^2+4(y-1)^2=1,4(x+1)^2+4(y-1)^2=1\) and \(4(x+1)^2+4(y+1)^2=1\) orthogonally is
- A \(4 x^2+4 y^2=49\)
- B \(4(x-1)^2+4(y+1)^2=1\)
- C \((x-1)^2+(y+1)^2=4\)
- D \(4 x^2+4 y^2=7\)
Answer & Solution
Correct Answer
(D) \(4 x^2+4 y^2=7\)
Step-by-step Solution
Detailed explanation
\(C_1: x^2+y^2-2x-2y+7/4=0 \Rightarrow g_1=-1, f_1=-1, c_1=7/4\) \(C_2: x^2+y^2+2x-2y+7/4=0 \Rightarrow g_2=1, f_2=-1, c_2=7/4\) \(C_3: x^2+y^2+2x+2y+7/4=0 \Rightarrow g_3=1, f_3=1, c_3=7/4\) Let orthogonal circle be \( x^2+y^2+2gx+2fy+c=0 \).…
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