A linear time invariant LTI system with the transfer function

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GATE-Electronics-and-Communication-Engineering-Question-Paper-2013-download-->View question

A linear time invariant (LTI) system with the transfer function

is connected in unity feedback configuration as shown in the figure.

For the closed loop system shown, the root locus for intersects the imaginary axis for K = 1.5. The closed loop system is stable for 
(A) K >1.5 
 (B) 1< K <1.5 
 (D) 0< K <1 
 (D) no positive value of K


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   (A) K >1.5                                                                                              


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