I \(P\) and \(Q\) are fixed points and \(x\) is a variable point which moves so that angle \(P X Q=45^{\circ}\) what is the locus of \(X\) ?

A. A pair of straight lines parallel to P Q
B. the perpendicular bisector of P Q
C. an are of a circle passing through \(P\) and Q
D. a circle with diameter P Q  
E. the bisector of angle \(P X Q\)

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Correct Answer: D