AP EAMCET · Maths · Circle
If the circle passing through \((3,5),(5,5)\) and \((3,-3)\) cuts the circle \(x^2+y^2+2 x+2 f y=0\) orthogonally, then \(f=\)
- A -12
- B -3
- C -15
- D -4
Answer & Solution
Correct Answer
(D) -4
Step-by-step Solution
Detailed explanation
\(6g_1+10f_1+c_1=-34\) \(10g_1+10f_1+c_1=-50\) \(6g_1-6f_1+c_1=-18\) \(4g_1=-16 \Rightarrow g_1=-4\) \(16f_1=-16 \Rightarrow f_1=-1\) \(6(-4)+10(-1)+c_1=-34 \Rightarrow c_1=0\) \(g_2=1, f_2=f, c_2=0\) \(2g_1g_2+2f_1f_2=c_1+c_2\) \(2(-4)(1)+2(-1)(f)=0+0\) \(-8-2f=0\) \(-2f=8\)…
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