TS EAMCET · Maths · Circle
The equation of the circle whose diameter is the common chord of the circles \(x^2+y^2-3 x+y-10=0\) and \(x^2+y^2-x+2 y-20=0\), is
- A \(x^2+y^2-3 x+6 y+15=0\)
- B \(x^2+y^2-6 x+4 y+10=0\)
- C \(x^2+y^2-9 x+2 y+20=0\)
- D \(x^2+y^2-9 x-2 y+20=0\)
Answer & Solution
Correct Answer
(D) \(x^2+y^2-9 x-2 y+20=0\)
Step-by-step Solution
Detailed explanation
Equation of given circles \[ \begin{aligned} & S_1=x^2+y^2-3 x+y-10=0 \\ & S_2=x^2+y^2-x+2 y-20=0 \end{aligned} \] \(\because\) Equation of family of circles passes through intersection of circles \(S_1\) and \(S_2\) is…
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