JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

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Application +4 | -1

The complex number

z_1, z_2, z_3

are the vertices of an equilateral triangle. If

z_0

is the circumcentre of the triangle, then

z_1^2+z_2^2+z_3^2

is equal to

View answer and explanation

Correct option: B

3 z_0^2

Option B (

3 z_0^2

) is correct because in an equilateral triangle, the circumcenter coincides with the centroid, and using the properties of equilateral triangles,

z_1^2+z_2^2+z_3^2 = 3z_0^2

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