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 11

Describe the process to divide two complex numbers in algebraic form.

Divide (6 + 8i) by (2 + 2i) and express the answer in algebraic form.

Express the result of (1 + 2i) × (1 - 2i) in algebraic form.

Express the result of (3 - 2i) + (5 + 7i) in algebraic form.

If z = 1 + i, what is z²?

If z = 2 - 5i, what is |z|²?

If z = 2 + 3i, find 2z.

If z = 2 + 3i, what is the imaginary part of z?

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

If z = 3 + 4i, what is the argument (principal value) of z in radians?

If z = 4 + 3i, calculate |z| (the modulus of z).

If z = 4 + 3i, what is the value of z × z̄ (z times its conjugate)?

If z = 5 - 7i, what is the real part of z?

If z = 7 + 2i and w = 3 - 5i, find z - w.

If z = a + bi, what is the algebraic form of its conjugate?

If z = a + bi, what is the modulus of z in terms of a and b?

Multiply the complex numbers (2 + 3i) and (1 - 4i).

The imaginary unit i is defined as the square root of which number?

What is the standard algebraic form of a complex number?