Let r (1) and r (2) be the radii of the...

Let `r _(1) and r _(2)` be the radii of the largest and smallest circles, respectively, which pass through the point (–4,1) and having their centres on the circumference of the circle `x ^(2) + y ^(2) + 2x + 4y - 4 =0` . If `(r _(1))/(r _(2)) = a + b sqrt2.` then `a + b` is equal to .

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