Question: If z = a + bi, where a and b are real numbers, then the conjugate of z is?
Options:
a + bi
a - bi
-a + bi
-a - bi
Correct Answer: a - bi
Solution:
The conjugate of z = a + bi is z̅ = a - bi.
If z = a + bi, where a and b are real numbers, then the conjugate of z is?
Practice Questions
Q1
If z = a + bi, where a and b are real numbers, then the conjugate of z is?
a + bi
a - bi
-a + bi
-a - bi
Questions & Step-by-Step Solutions
If z = a + bi, where a and b are real numbers, then the conjugate of z is?
Step 1: Identify the complex number z, which is given as z = a + bi.
Step 2: Recognize that 'a' is the real part and 'b' is the imaginary part of the complex number.
Step 3: To find the conjugate of z, you need to change the sign of the imaginary part 'b'.
Step 4: Write the conjugate as z̅ = a - bi, where 'a' remains the same and 'b' changes to -b.
Complex Numbers – Understanding the representation of complex numbers in the form z = a + bi, where a and b are real numbers.
Conjugate of a Complex Number – The conjugate of a complex number z = a + bi is obtained by changing the sign of the imaginary part, resulting in z̅ = a - bi.
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