Determine the nature of the roots of the following quadratic equations: (i) \( (x-2 a)(x-2 b)=4 ...

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Determine the nature of the roots of the following quadratic equations:
(i) \( (x-2 a)(x-2 b)=4 a b \)
(ii) \( 9 a^{2} b^{2} x^{2}-24 a b c d x+16 c^{2} d^{2}=0, a \neq 0, b \neq 0 \)
(iii) \( 2\left(a^{2}+b^{2}\right) x^{2}+2(a+b) x+1=0 \)
(iv) \( (b+c) x^{2}-(a+b+c) x+a=0 \)
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