Home › AP EAMCET › Mathematics › Complex Numbers and Quadratic Equations › Because complex numbers obey the usual associati…
Because complex numbers obey the usual associative, commutative and distributive laws, what do they form?
AA group, nothing more
BA ring without division
CAn ordered set only
DA field of numbers
Answer & Solution
Correct answer: D. A field of numbers
With addition, subtraction, multiplication and division obeying the standard laws, the complex numbers satisfy the field axioms.
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)?What 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?What is the conjugate of the product (2 + i)(3 − i)?