Daily Graph 15-8-09

|z2-4|<1

Where z is any complex number on the Argand plane..

11 Answers

1
abhishek upadhyay ·

62
Lokesh Verma ·

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]

62
Lokesh Verma ·

This one is still unsolved !

3
iitimcomin ·

|z-2||z+2|=1 ...........

((x-2)^2 + y^2)((x+2)^2 + y^2) < 1

1
RAY ·

it will be a fourth degree curve as far as i m gettin by solving it

3
iitimcomin ·

its obvious frm ... #6 its fourth degree ..

and its symmetric abt x and y axis ............

3
iitimcomin ·

and the curve intersexts the x axis at x = -root(3) and root(3) .....

3
iitimcomin ·

approx the above area???

62
Lokesh Verma ·

Yes IITimcoin.. this is very good work :)

You have almost found the answer.. though the shape is slightly different...

3
iitimcomin ·

1
arpan sinha ·

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...

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