Home
Class 11
MATHS
Let the complex numbers z1, z2 and z3 be...

Let the complex numbers `z_1, z_2 and z_3` be the vertices of an equilateral triangle. Let `z_0` be the circumcentre of the triangle, then `z_1^2 + z_2^2 +z_3^2=`

A

`z_0^2`

B

`-z_0^2`

C

`3z_0^2`

D

`-3z_0^2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Let the complex numbers z_1,z_2 and z_3 be the vertices of an equilateral triangle let z_0 be the circumcentre of the triangle. Then prove that z_1^2+z_2^2+z_3^2= 3z_0^2

Let the complex numbers z_1,z_2 and z_3 be the vertices of a equilateral triangle. Let z_0 be the circumcentre of the tringel ,then z_1^2+z_2^2+z_3^2= (A) z_0^2 (B) 3z_0^2 (C) 9z_0^2 (D) 0

Let the complex numbers z_(1),z_(2) and z_(3) be the vertices of an equailateral triangle. If z_(0) is the circumcentre of the triangle , then prove that z_(1)^(2) + z_(2)^(2) + z_(3)^(2) = 3z_(0)^(2) .

If the complex number z_1,z_2 and z_3 represent the vertices of an equilateral triangle inscribed in the circle |z|=2 and z_1=1+isqrt(3) then (A) z_2=1,z_3=1-isqrt(3) (B) z_2=1-isqrt(3),z_3=-isqrt(3) (C) z_2=1-isqrt(3), z_3=-1+isqrt(3) (D) z_2=,z_3=1-isqrt(3)