|z2-4|<1
Where z is any complex number on the Argand plane..
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11 Answers
Lokesh Verma
·2009-10-17 00:33:55
no abhishek
look at the point 0+i
z2 = -1
|z2 - 4| = 5
Whihch is far far bigger than 1
Even the origin does not satisfy the property
[1]
iitimcomin
·2009-10-22 23:59:31
its obvious frm ... #6 its fourth degree ..
and its symmetric abt x and y axis ............
iitimcomin
·2009-10-23 00:23:57
and the curve intersexts the x axis at x = -root(3) and root(3) .....
Lokesh Verma
·2009-10-23 04:14:41
Yes IITimcoin.. this is very good work :)
You have almost found the answer.. though the shape is slightly different...
arpan sinha
·2009-11-02 03:19:28
HINT:
\left|z ^{2}-4\right|\leq 1
or z \in [\sqrt3,\sqrt5]
thus there is reflection on y axis.
do u want more hints to be given?
tougher one...