Question

Match each complex numbers with its corresponding distance to the origin

Answer 1

2. z = 1 - 2·i → √5

3. z = 4 + 3·i → 54

4. z = 6 - 8·i → 10

1. z = √5 - i → √6

Explanation:

1. z = √5 - i

The distance from the origin = √((√5)² +1²) = √(5 + (-1)²) = √6

Therefore, z = √5 - i → √6

2) z = 1 - 2·i

The distance from the origin = √(1² + (-2)²) = √5

Therefore, z = 1 - 2·i → √5

3) z = 4 + 3·i

The distance from the origin = √(4²+3²)) = √(16 + 9) = √25 = 5

Therefore, z = 4 + 3·i → 5

4) z = 6 - 8·i

The distance from the origin = √(6²+8²)) = √(36 + 64) = √100= 10

Therefore, z = 6 - 8·i → 10