WBJEE · Maths · Circle
Two circle \(S_1=p x^2+p y^2+2 g^{\prime} x+2 f^{\prime} y+d=0\) and \(S_2=x^2+y^2+2 g x+2 f y+d^{\prime}=0\) have a common chord \(P Q\). The equation of \(\mathrm{PQ}\) is
- A \(S_1-S_2=0\)
- B \(S_1+S_2=0\)
- C \(\mathrm{S}_1-\mathrm{pS}_2=0\)
- D \(\mathrm{S}_1+\mathrm{pS}_2=0\)
Answer & Solution
Correct Answer
(C) \(\mathrm{S}_1-\mathrm{pS}_2=0\)
Step-by-step Solution
Detailed explanation
\(\frac{\mathrm{S}_1}{\mathrm{p}}-\mathrm{S}_2=0 \Rightarrow \mathrm{S}_1-\mathrm{pS}_2=0\)
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