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**Statement for Linked Answer Questions 82 and 83**

Consider a unity-gain feedback control system whose open-loop transfer function is

\[G(s)=\frac{as+1}{s^{2}}\]

The value of '$a$' so that the system has a phase-margin equal to $\frac{\pi}{4}$ is approximately equal to

- $2.40$
- $1.40$
- $0.84$
- $0.74$