AP EAMCET · Maths · Circle
The equation of the circle touching the circle \(x^2+y^2-6 x+\) \(6 y+17=0\) externally and to which the lines \(x^2-3 x y-3 x\) \(+9 y=0\) are normal is
- A \(x^2+y^2-3 x+2 y-2=0\)
- B \(x^2+y^2-6 x-2 y+1=0\)
- C \(x^2+y^2+6 x-2 y-1=0\)
- D \(x^2+y^2-9 x-3 y+2=0\)
Answer & Solution
Correct Answer
(B) \(x^2+y^2-6 x-2 y+1=0\)
Step-by-step Solution
Detailed explanation
\(x^2-3 x y-3 x+9 y=0\) \(\Rightarrow(x-3)(x-3 y)=0 \Rightarrow x=3, y=1\) Centre of required circle \(=(3,1)\) \(r_1+r_2=4 \Rightarrow r_1=1 \Rightarrow r_2=3\) Equation of the required line is…
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