Home › CBSE Class 11 (Commerce) › Mathematics › Complex Numbers and Quadratic Equations › The reciprocal 1/i simplifies to which complex n…
The reciprocal 1/i simplifies to which complex number?
Ai
B1
C-i
D-1
Answer & Solution
Correct answer: C. -i
Multiplying top and bottom by i gives i over i squared, which is i over -1, so -i.
Related questions
If x is real and |x + 3i| = 5, which values can x take?Which property explains why (2 + 3i)(1 − i) equals (1 − i)(2 + 3i)?Because complex numbers obey the usual associative, commutative and distributive laws, whaWhat is the real part of the reciprocal of a + ib (not both zero)?If z = −z̄ for a complex number z, which statement is correct?If a complex number z equals its own conjugate, what kind of number is z?For z = a + ib, the sum z + z̄ equals what?Taking the conjugate of the conjugate of z gives which result?