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 12
Express (5 + 12i) / (3 - 4i) in the form a + bi.
Express the reciprocal of the complex number 2 + 3i in algebraic form.
Given z = 2 + 3i and w = 4 - i, find zw.
Given z = 4 + 3i, find the value of z × z̄ (z times its conjugate).
Express (5 + 12i) / (3 - 4i) in the form a + bi.
Given z = 2 + 3i and w = 4 - i, find zw.
Given z = 4 + 3i, find the value of z × z̄ (z times its conjugate).
If z = 0 + 5i, what type of complex number is z?
Which of the following is NOT a complex number in algebraic form?
(1) 2 + 3i
(2) 0
(3) 5i
(4) √2
(5) None of these
Which of the following is the additive inverse of 7 - 2i?
(1) 7 + 2i
(2) -7 + 2i
(3) -7 - 2i
(4) 2i - 7
Which of the following is the correct result of (2 + 3i)²?
(1) 4 + 9i²
(2) 4 + 12i + 9i²
(3) -5 + 12i
(4) 13 + 6i
Which of the following is the multiplicative identity in the set of complex numbers?
(1) 0
(2) 1
(3) i
(4) -1
Fill in the blank: The imaginary part of the complex number -2 + 9i is _______.
Fill in the blank: The imaginary unit i satisfies the equation i² = _______.
Fill in the blank: The set of all complex numbers is denoted by _______.
Fill in the blank: The sum of (3 + 2i) and (5 - 7i) is _______.
True or False: Every real number is also a complex number.
True or False: The conjugate of a real number is the number itself.
True or False: The product of two purely imaginary numbers is always a real number.
True or False: The set of complex numbers is closed under addition, subtraction, multiplication, and division (except by zero).
