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Question

If z=41-i, then z¯ is equal to


A

21-i

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B

1+i

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C

21-i

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D

41+i

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Solution

The correct option is A

21-i


Explanation for the correct option.

Step 1. Write the given complex number in standard form.

In the complex number z=41-i multiply the numerator and denominator by 1+i.

z=41+i1-i1+i=41+i12-i2=41+i1-(-1)i2=-1=41+i2=21+i

Step 2. Find the conjugate of complex number z.

For the complex number z=21+i, the conjugate is given as: z¯=21-i.

So the value of z¯ is 21-i.

Hence, the correct option is A.


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