Home › CBSE Class 11 › mathematics › Complex Numbers — Algebra, Powers of i, Modulus, Conjugate, Multiplicative Inverse, Argand Plane › Identify the multiplicative inverse of -i.
Identify the multiplicative inverse of -i.
A-i
B-1
Ci
D1/i (which equals i, so same as option A)
Answer & Solution
Correct answer: C. i
For z = -i: z̄ = i; |z|² = 0² + (-1)² = 1. So z⁻¹ = z̄ / |z|² = i/1 = i. Verify: (-i)(i) = -i² = -(-1) = 1 ✓.
Related questions
Identify the standard form of (-i)(2i)(-i/8)³.If x + iy = (a + ib)/(a - ib), then x² + y² equals:In the Argand plane, the complex number z = x + iy and its conjugate z̄ = x - iy are repreCompute (5 - 3i)³.Find the value of i^(-39).For any positive real numbers a and b, the identity √a × √b = √(ab) holds. What if BOTH a Express (5 + √2 i)/(1 - √2 i) in the form a + ib.The multiplicative inverse of z = 2 - 3i is: