The complex numbers z1, z2 and z3 satisfying are the vertices of a triangle which is
Taking mode of both sides of given relation,
Hence âˆ† is isosceles.
Anticlocklwise rotation implies that ∠ABC = 60o.
Hence isosceles âˆ†
are the n, nth roots of unity,
If ω is fifth root of unity, then
, then find the equation whose roots are p and q.
Find the roots of the equation , whose real part is negative.
Let z1 and z2 be nth roots of unity which subtend a right angle at the origin. Then n must be of the form
For all complex numbers z1, z2 satisfying , the minimum value of
, show that z1, z2, z3 are the vertices of an equilateral triangle inscribed in a unit circle.
Find the complex numbers z which simultaneously satisfy the equation