Question

If z₁ = 2 – 4i and z₂ = 1 + 2i, then `bar"z"_1 + bar"z"_2` = ______.

Options

• 3 – 2i

• 2 + 3i

• 3 + 2i

• 2 – 3i

Answer 1

If z₁ = 2 – 4i and z₂ = 1 + 2i, then `bar"z"_1 + bar"z"_2` = 3 – 2i.

Explanation:

`bar"z"_1` =  2 – 4i and `bar"z"_2` = 1 + 2i

∴ `bar"z"_1 + bar"z"_2` = (2 – 4i) + (1 + 2i)

= 3 – 2i