Grade 12th pass10 grade maths
Suppose z1,z2,z3
are three vertices of an equilateral triangle in the argand plane. Let α=1/2(3–√−i)
and β
be a non-zero complex number. The points αz1+β,αz2+β,αz3+β
constitute which of the following?
(a). The vertices of an equilateral triangle
(b). The vertices of an isosceles triangle
(c). Collinear
(d). Vertices of a scalene triangle
Suppose z1,z2,z3
are three vertices of an equilateral triangle in the argand plane. Let α=1/2(3–√−i)
and β
be a non-zero complex number. The points αz1+β,αz2+β,αz3+β
constitute which of the following?
(a). The vertices of an equilateral triangle
(b). The vertices of an isosceles triangle
(c). Collinear
(d). Vertices of a scalene triangle
