Home › CBSE Class 11 › mathematics › Complex Numbers — Algebra, Powers of i, Modulus, Conjugate, Multiplicative Inverse, Argand Plane › The complex number i is defined by:
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.
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