Which of the following is the conjugate of the complex number z = 2 - 3i?
Practice Questions
Q1
Which of the following is the conjugate of the complex number z = 2 - 3i?
2 + 3i
2 - 3i
3 - 2i
3 + 2i
Questions & Step-by-Step Solutions
Which of the following is the conjugate of the complex number z = 2 - 3i?
Step 1: Identify the complex number. In this case, the complex number is z = 2 - 3i.
Step 2: Recognize the format of a complex number, which is generally written as a + bi, where 'a' is the real part and 'b' is the imaginary part.
Step 3: In our example, the real part (a) is 2 and the imaginary part (b) is -3.
Step 4: To find the conjugate of the complex number, we change the sign of the imaginary part. This means we take the real part (2) and keep it the same, and we change -3 to +3.
Step 5: Write the conjugate using the new imaginary part. The conjugate of z = 2 - 3i is z* = 2 + 3i.
