If the points \( \mathrm{A}, \mathrm{B}, \mathrm{C} \) and \( \math...

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If the points \( \mathrm{A}, \mathrm{B}, \mathrm{C} \) and \( \mathrm{D} \) are represented by the complex numbers \( 4+i \), \( 1+6 i,-4+3 i \) and \( -1-2 i \) respectively, then show that \( \mathrm{ABCD} \) is a square (use distance formula).
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