The locus of the complex number z satisfying the inequaliyt `log_(1/sqrt(2)) ((|z-1|+6)/(2|z-1|-1))gt1 (2 where |z-1|!= 1/2)` is (A) a circle (B) interior of a circle (C) exterior of circle (D) none of these

If z_(1) ,z_(2) be two complex numbers satisfying the equation |(z_(1)+z_(2))/(z_(1)-z_(2))|=1 , then

Let C_1 and C_2 are concentric circles of radius 1and 8/3 respectively having centre at (3,0) on the argand plane. If the complex number z satisfies the inequality log_(1/3)((|z-3|^2+2)/(11|z-3|-2))>1, then (a) z lies outside C_(1) but inside C_(2) (b) z line inside of both C_(1) and C_(2) (c) z line outside both C_(1) and C_(2) (d) none of these

Show that the complex number z , satisfying are (z-1)/(z+1)=pi/4 lies on a circle.

|z-4|+|z+4|=16 where z is as complex number ,then locus of z is (A) a circle (B) a straight line (C) a parabola (D) none of these

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

The region of argand diagram defined by |z-1|+|z+1|<=4 (1) interior of an ellipse (2) exterior of a circle (3) interior and boundary of an ellipse (4) none of these

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

If z is complex number, then the locus of z satisfying the condition |2z-1|=|z-1| is (a)perpendicular bisector of line segment joining 1/2 and 1 (b)circle (c)parabola (d)none of the above curves

Consider the complex numbers z_(1) and z_(2) Satisfying the relation |z_(1)+z_(2)|^(2)=|z_(1)|^2 + |z_(2)|^(2) Complex number z_(1)/z_(2) is

Consider the complex numbers z_(1) and z_(2) Satisfying the relation |z_(1)+z_(2)|^(2)=|z_(1)| + |z_(2)|^(2) Complex number z_(1)//z_(2) is