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 11
Add the complex numbers (3 + 4i) and (2 - 7i).
Divide (6 + 8i) by (2 + 2i).
Express the complex number 1 - i in polar form (r(cos θ + i sin θ)).
Express the complex number -2 in polar form.
Express the complex number 2 in the form a + bi.
If i is the imaginary unit, what is the value of i2?
If z = 1 - i, what is z3?
If z = 1 + 2i, what is z2?
If z = 2 - 3i, what is the value of z̄ (z bar)?
If z = 2 + 2i, what is |z|?
If z = 3 + 4i, what is the argument of z?
If z = 4 - 3i, what is the value of z + z̄ (z bar)?
If z = 5i, what is |z|?
If z = a + bi, what is the general formula for the modulus of z?
Multiply the complex numbers (2 + 3i) and (4 - i).
Subtract (5 - 2i) from (1 + 6i).
What is the conjugate of the complex number 5 - 7i?
What is the modulus of the complex number -1 + i?
What is the multiplicative inverse of 3 + 4i?
What is the result of dividing (1 + i) by (1 - i)?
