The line segment joining \( A(3,0) \) and \( B(5,2) \) is rotated about \( A \) in the anti-cloc...

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The line segment joining \( A(3,0) \) and \( B(5,2) \) is rotated about \( A \) in the anti-clockwise direction through an angle of \( 45^{\circ} \) so that \( B \) goes to \( C \). If \( D(x, y) \) is the image of \( C \) with respect to \( y \)-axis, find the value of \( x+y+7 \).
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