Home
Class 12
MATHS
If the complex numbers iz, z and z + iz ...

If the complex numbers `iz, z and z + iz `represent the three vertices of a triangle, then the area of the triangle is

A

`1/2`

B

`1/2absz^2`

C

1

D

`1/2abs(z+iz)^2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

If z_(1), z_(2),z_(3) represent the vertices of a triangle, then the centroid of the triangle is given by

If z, izand z+iz are the vertices of a triangle whose area is 2units, the value of |z| is

The complex number z_(1)z_(2)z_(3) are the vertices of a triangle.Then the complex number z which make the triangle into parallelogram is

A, B, C are the points representing the complex numbers z_1, z_2, z_3 respectively on the complex plane and the circumcentre of the triangle ABC lies at the origin. If the altitude AD of the triangle ABC meets the circumcircle again at P, then P represents the complex number

Let A, B, C represent the complex numbers z_1, z_2, z_3 respectively on the complex plane. If the circumcentre of the triangle ABC lies at the origin, then the orthocentre is represented by the complex number

A, B, C are the point representing the complex numbers z_1,z_2,z_3 respectively on the complex plane and the circumcentre of the triangle ABC lies at the origin. If the altitude of the triangle through the vertex A meets the circumcircel again at P, then prove that P represents the complex number -(z_2z_3)/(z_1)