Complex Numbers in Algebraic Form

Math ⇒ Algebra

Complex Numbers in Algebraic Form starts at 10 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Complex Numbers in Algebraic Form. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

See sample questions for grade 12

Express (5 + 12i) / (3 - 4i) in the form a + bi.

Express the reciprocal of the complex number 2 + 3i in algebraic form.

Given z = 2 + 3i and w = 4 - i, find zw.

Given z = 4 + 3i, find the value of z × z̄ (z times its conjugate).

If z = 0 + 5i, what type of complex number is z?

If z = 1 + i, compute z³.

If z = 2 - 5i, calculate |z| (the modulus of z).

If z = 3 + 4i and w = 1 - 2i, find z + w.

If z = 3 + 4i, what is the value of 1/z in algebraic form?

If z = 6 + 8i, what is the argument (principal value) of z in radians?

If z = 7 - 24i, find the modulus of z.

If z = a + bi, what is the formula for the modulus of z?

If z = a + bi, what is the real part of z?

What is the standard algebraic form of a complex number?