Question Bank: Complex Numbers and Quadratic Equations

Which of the following represents the real part of a complex number z = 4 + 3i?

What is the additive inverse of the complex number z = 5 - 7i?

What is the result of (2 + 3i) + (4 - 5i)?

If z1 = 3 + 4i and z2 = 1 - 2i, what is z1 * z2?

What is the modulus of the complex number z = 3 + 4i?

Which expression represents the conjugate of z = 6 + i?

Which of the following laws applies to the addition of complex numbers?

For what value of x is the complex number x + 2i equal to the complex number 3 - 2i?

What is (2 + 3i) - (4 - i)?

Which of the following is a property of the imaginary unit i?

Which of the following represents the values of i³?

What is the real part of the product of z1 = 2 + 3i and z2 = 1 - 4i?

If the complex number z = 3 + 4i lies in which quadrant of the Argand plane?

What is the additive identity in terms of complex numbers?

What is the sum of z1 = -1 + i and z2 = -1 - i?

If z = 1 + 2i, what is the multiplicative inverse of z?

What is the sum of the complex numbers (3 + 2i) and (4 - 3i)?

Which property is confirmed by the relation z1 + z2 = z2 + z1 for any complex numbers z1 and z2?

If z = 2 + 5i, what is the additive inverse of z?

What is the result of (1 + 2i) - (3 + 4i)?

If z1 = 5 + 7i and z2 = -2 + 3i, what is the value of z1 + z2?

How is the difference of two complex numbers z1 - z2 defined?

What would be the result of adding the complex numbers (a + bi) + (c + di)?

If z = 4 - 3i, what is the conjugate of z?

What is the effect of multiplying a complex number by its conjugate?

Given z1 = 3 + 4i and z2 = 1 - 2i, what is the complex number z1 - z2?

What is the real part of the complex number z = -7 + 3i?

Which of the following represents the associative property for complex numbers?

Find the values of x and y if 2 + 3i + (x - 2i) = (4 + y)i.

What is the modulus of the complex number z = 3 + 4i?

If z = a + bi where a and b are rational numbers, which is true?

What is the imaginary unit denoted by in complex numbers?

Which of the following is a complex number?

How do you denote the real part of a complex number z = a + bi?

If z1 = 3 + 4i and z2 = 1 + 2i, what is z1 + z2?

Which equation has no real solutions?

What is the general form of a complex number?

If z = 5 - 3i, what is the imaginary part of z?

Two complex numbers are equal when?

What is the result of (1 + 2i) + (3 + 4i)?

If z1 = 2 + 3i and z2 = 2 - 3i, what is z1 * z2?

For which value of D (discriminant) does a quadratic equation have complex solutions?

The operation (1 + i) - (2 - i) gives?

Which of the following complex numbers has a zero real part?

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

Multiply z1 = 1 + i and z2 = 1 - i; what is the result?

What happens when you square the imaginary unit i?

What is the modulus of the complex number z = 3 + 4i?

What is the conjugate of the complex number z = a + bi?

What is the value of the modulus |2 - 2i|?

If z = 1 + 2i, what is z̅ (the conjugate of z)?

Which of the following statements about the modulus is true?

If z = 3 + 4i and w = 1 - 2i, what is the product zw?

How is the multiplicative inverse of a complex number z = a + bi expressed?

What is the modulus of z = -7 + 24i?

What is the conjugate of z = 0 + 5i?

If z = 4i, what is |z|?

For the product of two complex numbers z = a + bi and w = c + di, what is the imaginary part of zw?

Which form does a complex number take when expressed in terms of its modulus and argument?

If z = 2 + 2i, what is z²?

What is the value of (3 + 4i) / (2 - i)?

If z = 5 - 12i, what is the multiplicative inverse?

What point in the Argand plane corresponds to the complex number 3 + 4i?

Which of the following represents the conjugate of the complex number 5 - 2i?

What is the modulus of the complex number z = 1 + i?

In the Argand Plane, which axis represents the real part of a complex number?

What is the polar form of the complex number 3 + 4i?

If z = x + iy, which of the following represents the imaginary unit i?

Which of the following points would lie on the imaginary axis in the Argand plane?

What is the argument of the complex number -1 + 0i?

The distance from the point (3, 4) to the origin in the Argand plane is given by which expression?

Which complex number lies in the third quadrant of the Argand plane?

If z = 5e^(iπ), what is the equivalent rectangular form?

Which of the following expressions gives the modulus of a complex number z = 2 + 6i?

Express the complex number 0 + 1i in polar form.

Identify the point on the Argand plane corresponding to the complex number -3 - 4i.

What type of number is represented by the point (2, 0) in the Argand plane?

What is the polar angle for the complex number 1 - i?