If
1
1
1
m
i
– i
+
=
, then find the least positive integral value of m
If (a + ib) (c + id) (e + if) (g + ih) = A + iB, then show that
(a
2
+ b
2
) (c
2
+ d
2
) (e
2
+ f
2
) (g
2
+ h
2
) = A2
+ B2
Find the number of non-zero integral solutions of the equation 1 2 x x
– i = .
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