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 10

Add the complex numbers (2 + 5i) and (3 - 2i).

Divide (4 + 2i) by (1 - i).

Divide (6 + 8i) by 2.

Express the complex number -4 in algebraic form.

Express the reciprocal of 1 + i in algebraic form.

Find the conjugate of 7 - 9i.

If z = 1 - 2i, what is the value of z - z̄?

If z = 1 + i, what is z²?

If z = 2 - 5i, what is the modulus of z?

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

If z = 2 + 3i, calculate z × z̄ (where z̄ is the conjugate of z).

If z = -3 + 4i, what is |z|?

If z = 3 + 4i, what is the real part of z?

If z = 4 + 3i, what is the value of z + z̄?

If z = 5 - 2i, what is the imaginary part of z?

If z = a + bi, what is the additive inverse of z?

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

Multiply (1 + 2i) by (3 + 4i).

Multiply (2 - 3i) by (2 + 3i).

Simplify (2 + 3i) + (4 - 5i).