Home
Class 11
MATHS
If Im ((2z+1)/(iz+1))=3, then locus of z...

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

A

A) a circle

B

B) a parabola

C

C) a straight line

D

D) None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If z_(1) lies on the circle |z|=3 and x+iy =z_(1) + (1)/(z_(1)) then 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 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= (lamda + 3)- isqrt(5-lamda^(2)) , then the locus of z is a

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

Using the results abs(z^2) = absz^2 and abs(z_1/z_2) = (abs(z_1))/abs(z_2) , find the modulus of (3-i)^2/(2+i)

Let z=x+iy be a complex number such that |z+i|=2 . Then the locus of z is a circle whose centre and radius are