TS EAMCET · Maths · Circle
The equation of the circle whose diameter is the common chord of the circles \(x^2+y^2+2 x+3 y+2=0\) and \(x^2+y^2+2 x-3 y-4=0\) is
- A \(x^2+y^2+2 x+2 y+2=0\)
- B \(x^2+y^2+2 x+2 y-1=0\)
- C \(x^2+y^2+2 x+2 y+1=0\)
- D \(x^2+y^2+2 x+2 y+3=0\)
Answer & Solution
Correct Answer
(C) \(x^2+y^2+2 x+2 y+1=0\)
Step-by-step Solution
Detailed explanation
Given that Equation of common chord is \(\begin{aligned} S_1-S_2 & =0 \\ \Rightarrow \quad 6 y+6=0 \Rightarrow y & =-1 \end{aligned}\) Putting \(y=-1\) in Eq. (i), we get…
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