AP EAMCET · Maths · Circle
If one of the two circle \(x^2+y^2+\alpha_1(x-y)+c=0\) and \(x^2+y^2+\alpha_2(x-y)+c=0\), lies within the other, then (where \(\alpha_1, \alpha_2 \in \mathbf{R}, \alpha_1 \neq \alpha_2\))
- A \(c < 0\)
- B \(c=0\)
- C \(c>0\)
- D \(c \geq 0\)
Answer & Solution
Correct Answer
(C) \(c>0\)
Step-by-step Solution
Detailed explanation
Equation of given circles are \(\begin{aligned} & x^2+y^2+\alpha_1(x-y)+C=0 \\ & \text{and } x^2+y^2+\alpha_2(x-y)+C=0 \end{aligned}\) Since, if one of the two given circles, lies within the other, then \(C_1 C_2 0\)…
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