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Let $\mathrm{A}=(2,0)$ and $\mathrm{B}=(6,4)$ be two points. If $\overline{A B}$ is rotated about $\mathrm{A}$ through an angle of $45^{\circ}$ in the negative direction, then the co-ordinates of $\mathrm{B}$ after the rotation are
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The correct answer is:
$(2+4 \sqrt{2}, 0)$
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