Complex Numbers and Their Operations
Math ⇒ Number and Operations
Complex Numbers and Their Operations starts at 11 and continues till grade 12.
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See sample questions for grade 12
Divide (6 + 8i) by (2 - 2i) and express the answer in the form a + bi.
Express 8(cos 60° + i sin 60°) in the form a + bi.
Express the product (2 + 3i)(1 - 4i) in the form a + bi.
Express the quotient (7 + 24i) / (4 - 3i) in the form a + bi.
If z = 1 + i, what is z10?
If z = 2 - 5i, find z2.
If z = 2 + 2i, what is the modulus squared of z?
If z = 3 - 4i, what is 1/z in the form a + bi?
If z = 3 + 4i, what is the modulus of z?
If z = 4(cos 120° + i sin 120°), what is the rectangular form of z?
If z = 5 - 12i, what is the argument (principal value) of z?
If z = a + bi, what is the formula for the modulus of z?
If z = r(cosθ + i sinθ), what is zn in polar form according to De Moivre's Theorem?
What is the sum of (3 + 2i) and (5 - 7i)?
What is the value of i4?
