For the real parameter t, the locus of t...

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

A

A.an ellipse

B

B.a parabola

C

C.a circle

D

D.a hyperbola

Verified by Experts

Similar Questions

Explore conceptually related problems

Find the argument and modulus of the complex number z=1+i sqrt 3

The congugate of a complex number z is frac{1}{i-1} ,then the complex number is

The amplitude of the complex number z = sinalpha+i(1-cosalpha) is

Find the conjugate of the complex number z= frac{(1+i)(2+i)}{(3+i)}

The conjugate of the complex number z is frac{1}{i-1} then z=

Find the modulus and amplitude for each of the following complex numbers. 1 +isqrt3

The complex number frac{1+2i}{1-i} lies in which quadrant of the complex plane?

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

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 complex number frac{1+2i}{1-i} lies in the