If z(1) lies on the circle |z|=3 and x+i...

If `z_(1)` lies on the circle `|z|=3 and x+iy =z_(1) + (1)/(z_(1))` then locus of z is

A

circle

B

parabola

C

ellipse

D

hyperbola

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

If Im ((2z+1)/(iz+1))=3 , then locus of z is

If |z+bar(z)|= |z-bar(z)| , then the locus of z is

If |sqrt2z- 3+2i|= |z| |sin ((pi)/(4) + arg z_(1)) + i cos((3pi)/(4) - arg z_(1))| , where z_(1)=1+ (1)/(sqrt3)i , then locus of z is

If (2 z _(1))/(3z _(2)) is a purely imaginary, then | ( z _(1) - z _(2))/( z _(1) + z _(2))| is:

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

If z=x+iy is a complex number such that |z|=Re(iz)+1 , then the locus of z is

If |z_(1)|= 2, |z_(2)|= 3 , then |z_(1) + z_(2) +5+12i| is less than or equal to

If (pi)/(3) and (pi)/(4) are argument of z_(1) and bar(z)_(2) then the value of arg (z_(1)z_(2)) is