Complex Numbers And Quadratic Equations

Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!

1. Square root of a negative number is called an number.
2. A number of the form a + ib, where a and b are real numbers, is called a number.
3. Two complex numbers are said to be of each other, if their sum is real and their product is also real.
4. Conjugate of a complex number is obtained by changing the sign of part of z.
5. of a complex number is commutative and associative.
6. of a complex number z = x + iy is denoted by

|z| = \sqrt{x^{2} + y^{2}}

.
7. A complex number z is purely iff Im (z) = 0.
8. The value of

i^{2}

is -.
9. A complex number z = x + iy can be represented by a point (x, y) on the plane which is known as the plane.
10. Two complex numbers

z_{1} = a_{1} + i b_{1}

and

z_{2} = a_{2} + i b_{2}

are if

a_{1} = a_{2}

and

b_{1} = b_{2}

Complex Numbers And Quadratic Equations

Gap-fill exercise