If `(log)_(sqrt(3))((|z|^2-|z|+1)/(2+|z|))>2,` then locate the region in the Argand plane which represents `zdot`

If log sqrt(3)((|z|^(2)-|z|+1)/(2+|z|))gt2 , then the locus of z is

If log_(sqrt3) |(|z|^2 -|z| +1|)/(|z|+2)|<2 then locus of z is

If log_(1/2)((|z|^2+2|z|+4)/(2|z|^2+1))<0 then the region traced by z is ___

Locate the region in the Argand plane determined by z^2+ z ^2+2|z^2|<(8i( z -z)) .

If |z+3i|+|z-i|=8 , then the locus of z, in the Argand plane, is

If log_(tan30^@)[(2|z|^(2)+2|z|-3)/(|z|+1)] lt -2 then |z|=

If z=i log(2-sqrt(3)) then cosz

If z is a comlex number in the argand plane, the equation |z-2|+|z+2|=8 represents

If the points z_(1),z_(2),z_(3) are the vertices of an equilateral triangle in the Argand plane, then which one of the following is not correct?