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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

Verified Answer :

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

\((3-2i)\)

so

the conjugate is equal to

\((3+2i)\) -----> equal real part and imaginary part equal in magnitude but opposite in sign

the answer is the option

\((3+2i)\)

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=\(3-2i\)

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 \(3-2i\) is \(3+2i\) 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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