JEE Main · MathematicsMedium
If the complex numbers and represent the vertices of an equilateral triangle, then equals
- A.
- B.
- C.
- D.
Show correct answer & step-by-step solution
Correct answer: A —
Solution
For an equilateral triangle, the condition is . Rearranging this gives the required identity.
Attempt this question & track your score
Sign up free to answer, get instant scoring, and let SolveGini track which Mathematics topics you need to revise.
Attempt & Track Free →More Complex Numbers practice questions
- Find the modulus of the complex number 3 + 4i.
- Simplify the expression (1 + i) + (2 - 3i).
- What is the conjugate of the complex number 2 - 5i?
- What is the real part of the complex number 7 - 9i?
- What is the value of i raised to the power of 402?
- If z is a complex number such that |z - 3| + |z + 3| = 8, then the maximum value of |z| is
- The amplitude of the complex number (1 + i sqrt(3)) / (sqrt(3) + i) is
- If z = x + iy satisfies |z + 1| = |z - 1|, then the locus of z is
- If z is a complex number such that |z - 3 - 2i| = 2, then the maximum value of |2z - 6 + 5i| is
- If z1 and z2 are two complex numbers such that |z1 + z2| = |z1| + |z2|, then arg(z1) - arg(z2) is