Complex Numbers in Algebraic Form
Math ⇒ Algebra
Complex Numbers in Algebraic Form starts at 10 and continues till grade 12.
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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?
Which of the following is a complex number in algebraic form?
(1) 7
(2) 2 + 3i
(3) i
(4) All of the above
Which of the following is NOT a complex number?
(1) 0
(2) 5i
(3) 2 + 0i
(4) None of the above
Which of the following is the additive identity for complex numbers?
(1) 0
(2) 1
(3) i
(4) -1
Which of the following is the correct formula for the modulus of a complex number z = a + bi?
(1) a + b
(2) a2 + b2
(3) √(a2 + b2)
(4) a - b
Fill in the blank: The imaginary unit i is defined as the square root of _______.
Fill in the blank: The product of (a + bi) and (a - bi) is _______.
The modulus of the complex number 3 + 4i is _______.
The value of i2 is _______.
True or False: Every real number is also a complex number.
True or False: The imaginary part of a real number is always zero.
True or False: The product of a complex number and its conjugate is always a real number.
True or False: The set of complex numbers is closed under addition, subtraction, and multiplication.
