AP EAMCET · Maths · Circle
If the circle \(x^2+y^2+2 \alpha x+c=0\) lies completely inside the circle \(x^2+y^2+2 \beta x+c=0\), then which of the following holds?
- A \(\alpha \beta < 0\)
- B \(c < 0\)
- C \(c=0\)
- D \(\alpha \beta>0\)
Answer & Solution
Correct Answer
(D) \(\alpha \beta>0\)
Step-by-step Solution
Detailed explanation
The centre of the circle \(x^2+y^2+2 \alpha x+c=0\) is \((-\alpha, 0)\). As the circle \(x^2+y^2+2 \alpha x+c=0\) lies inside the circle \(x^2+y^2+2 \beta x+c=0\), then…
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