Home
Class 11
MATHS
For a real parameter t, the locus of the...

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

A

An ellipse

B

A parabola

C

A circle

D

A hyperbola

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

If z^2 = 12 sqrt(-1) , find the complex number z .

Write the real and imaginary parts of the complex number: 2-i sqrt(2)

If t is a parameter , then locus of a point P (a sin^(2) t, 2a sin t ) is

The points A,B and C represent the complex numbers z_(1),z_(2),(1-i)z_(1)+iz_(2) respectively, on the complex plane (where, i=sqrt(-1) ). The /_\ABC , is

Show that complex numbers z_1=-1+5i and z_2=-3+2i on the argand plane.

If the real part of (z+2)/(z-1) is 4, then show that the locus of he point representing z in the complex plane is a circle.

A(z_(1)) and B(z_(2)) are two given points in the complex plane. The locus of a point P(z) in the complex plane satisfying |z-z_(1)|-|z-z_(2)| ='|z1-z2 |, is

If the real part of (barz +2)/(barz-1) is 4, then show that the locus of the point representing z in the complex plane is a circle.