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Let r₁, r₂ be the radii of the largest and smallest circles respectively passing through the point (-4,1) and having their centres on the circumference of the circle $x^{2} + y^{2} + 2 x + 4 y - 4 = 0$ if $\frac{r_{1}}{r_{2}} =a+b \sqrt{2}$ then a+b=__

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answer is C.

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Detailed Solution

$\frac{r_{1}}{r_{2}} = \frac{Cp+r}{Cp-r}$

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