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Multiple choice

Let $f(x, y)=0$ be the equation of a circle. If $f(0, \lambda)$ has equal roots $\lambda =2.2$ and $f(\lambda, 0)$ has roots $\lambda =\dfrac{4}{5}, 5$ then centre of the circle is?

  1. $\left(2, \dfrac{29}{10}\right)$
  2. $\left(\dfrac{29}{10}, 2\right)$
  3. $\left(-2, \dfrac{29}{10}\right)$
  4. $\left(\dfrac{29}{10}, -2\right)$
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