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The lines \( P Q \) whose equation is \( x-y=2 \) cuts the \( x \) axis at \( P \) and \( Q \) is passing through \( (4,2) \). The line is rotated about \( P \) through \( 45^{\circ} \) in the anticlockwise direction. The equation of the line \( P Q \) in the new position is-
\[
\begin{array}{l}
-(1) y=-\sqrt{2} \\
-(2) y=2 \\
-(3) x=2 \\
\text { (4) } x=-2
\end{array}
\]
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