The complex number i is defined by:
Ai = 2π
Bi = √1
Ci = 0
Di² = -1 (so i is a solution of x² + 1 = 0)
Answer & Solution
Correct answer: D. i² = -1 (so i is a solution of x² + 1 = 0)
i is defined as √(-1), so i² = -1. This number is the solution of x² + 1 = 0, an equation with no real solutions.
The complex number system extends the reals to make such equations solvable.
Keep practising Complex Numbers and Quadratic Equations
Browse all Complex Numbers and Quadratic Equations questions for AP Intermediate 1st Year, or explore more Mathematics topics.