Home
Class 11
MATHS
If the imaginary part of frac{2z+1}{iz+1...

If the imaginary part of `frac{2z+1}{iz+1}` is `-2`, then the locus of the point representing z in the complex plane is

A

A.a circle

B

B.a parabola

C

C.a straight

D

D.an ellipse

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

If the real part of frac{bar z + 2}{bar z -1} is 4, then show that the locus of the point representing z in the complex plane is a circle.

The imaginary part of frac{(1+i)^2)(2-i) is

If z ne 1 and frac{z^2}{z-1} is real, then the point represented by the complex number z lies

If the imaginary part of frac{2+i}{ai-1} is zero where a is real number, then the value of a is equal to

If the amplitude of z-2-3i is frac{pi}{4} , then the locus of z = x+yi is

If z= frac{-2}{1+sqrt3i} , then the value of arg(z) is

Let z=x+iy and a point P represent zin the argand plane. If the real part of frac{z-1}{z+i} is 1, then a point that lies on the locus of P is

For the real parameter t , the locus of the complex number z = (1-t^2)+isqrt(1+t^2) in the complex plane is

The locus of the point representing the complex number z for which abs(z+3)^2-abs(z-3)^2 = 15 is

If z = (k+4)+i(sqrt(9-k^2)) , then the locus of z is, (where i = sqrt(-1))