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Consider two transfer functions $$\mathrm{G}_1(s)=\frac{1}{s^2+a s+b} \text { and } \mathrm{G}_2(s)=\frac{s}{s^2+a s+b}$$ The $3-d B$ bandwidths of their frequency responses are, respectively

1. $\sqrt{a^2-4 b}, \sqrt{a^2+4 b}$
2. $\sqrt{a^2+4 b}, \sqrt{a^2-4 b}$
3. $\sqrt{a^2-4 b}, \sqrt{a^2-4 b}$
4. $\sqrt{a^2+4 b}, \sqrt{a^2+4 b}$