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Which of the following expressions is the conjugate of a complex number with 3 as the real part and –2i as the imaginary part?
3 + 2i
3 – 2i
3i + 2
3i – 2

Respuesta :

calculista

we know that

The conjugate of a complex number is the number with equal real part and imaginary part equal in magnitude but opposite in sign

In this problem we have

[tex](3-2i)[/tex]

so

the conjugate is equal to

[tex](3+2i)[/tex] -----> equal real part and imaginary part equal in magnitude but opposite in sign

the answer is the option

[tex](3+2i)[/tex]

boffeemadrid

Answer:

(A)

Step-by-step explanation:

It is given that there is a complex number with 3 as the real part and –2i as the imaginary part that is:

The number is=[tex]3-2i[/tex]

Now, The conjugate of a complex number is the number with equal real part and imaginary part equal in magnitude but opposite in sign.

Thus, the complex conjugate of [tex]3-2i[/tex] is [tex]3+2i[/tex] as number remains same with equal real and imaginary part in magnitude but opposite in sign.

Thus, option A is correct.

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