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TS EAMCET · Maths · Circle


The correct match is

  1. A (a)
  2. B (b)
  3. C (c)
  4. D (d)
Verified Solution

Answer & Solution

Correct Answer

(C) (c)

Step-by-step Solution

Detailed explanation

We have, \[ \begin{aligned} & S_\alpha=x^2+y^2+2 \alpha x+k=0 \\ & S_\beta=x^2+y^2+2 \beta y-k=0 \end{aligned} \] (A) \(S_\alpha=0\) is a point circle of \(\alpha^2-k=0 \Rightarrow \alpha= \pm \sqrt{k}\) Central of \(S_\alpha=( \pm \sqrt{k}, 0)\) (B) \(S_\beta=0\) is a point…