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If the equation |z(z+1)^8 =z^8 |z+1| wh...

If the equation `|z(z+1)^8 =z^8 |z+1|` where `z in C and z(z+1) != 0` has distinct roots `z_1,z_2,z_3,...,z_n`.(where `n in N`) then which of the following is/are true?

A

`z_(1),z_(2),z_(3)……..z_(n)` are concyclic points

B

`z_(1),z_(2),z_(3),……...z_(n)` are collinear points

C

`sum_(r=1)^(n)"Re"(z_(r))=(-7)/2`

D

`sum_(r=1)^(n("Im")(z_(r))=0`

Text Solution

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The correct Answer is:
B, C, D
bcd
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