Which of the following is the conjugate of the complex number 5 - 3i? (2020)

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Question: Which of the following is the conjugate of the complex number 5 - 3i? (2020)

Options:

Correct Answer: 5 + 3i

Solution:

The conjugate of a complex number a + bi is a - bi. Thus, the conjugate of 5 - 3i is 5 + 3i.

Which of the following is the conjugate of the complex number 5 - 3i? (2020)

Which of the following is the conjugate of the complex number 5 - 3i? (2020)

Step 1: Identify the complex number given in the question, which is 5 - 3i.
Step 2: Understand that a complex number is in the form a + bi, where 'a' is the real part and 'b' is the imaginary part.
Step 3: In the complex number 5 - 3i, the real part (a) is 5 and the imaginary part (b) is -3.
Step 4: The conjugate of a complex number a + bi is found by changing the sign of the imaginary part. This means we change 'bi' to '-bi'.
Step 5: For the complex number 5 - 3i, the conjugate will be 5 + 3i because we change -3i to +3i.
Step 6: Therefore, the conjugate of the complex number 5 - 3i is 5 + 3i.

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