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