What is the sum of $5 - 3 i$ and the conjugate of $3 + 2 i$ ?

2 + 5 i

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2 - 5 i

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8 - i

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8 - 5 i

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Solution

The correct option is D $8 - 5 i$
Let $z_{1} = 5 - 3 i$ and $z_{2} = 3 + 2 i$
Thus conjugate of $z_{2}$ is $_{2} = 3 - 2 i$
Hence require sum is $z_{1} +_{2} = 8 - 5 i$
Hence option (d) is correct choice

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Similar questions

Imaginary part of third element of the second row for the Conjugate of $⎡ ⎢ ⎣ \begin{matrix} 3 + 4 i & 4 & 2 + 5 i 1 + 2 i & 2 + 3 i & 3 + 5 i 2 + 7 i & 9 & 5 \end{matrix} ⎤ ⎥ ⎦$ is

___

Q. If

z = ∣ ∣ ∣ ∣ \begin{matrix} 1 & 1 + 2 i & - 5 i 1 - 2 i & - 3 & 5 + 3 i 5 i & 5 - 3 i & 7 \end{matrix} ∣ ∣ ∣ ∣

, then

i = (\sqrt{- 1})

Q. The value of

\frac{2 + 3 i}{4 + 5 i}

Q. Let

z = ∣ ∣ ∣ ∣ \begin{matrix} 1 & 1 + 2 i & - 5 i 1 - 2 i & - 3 & 5 + 3 i 5 i & 5 - 3 i & 7 \end{matrix} ∣ ∣ ∣ ∣

, then

\frac{3 + 2 i}{2 - 5 i} + \frac{3 - 2 i}{2 + 5 i}

is:

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What is the sum of 5−3i and the conjugate of 3+2i?

The correct option is D 8−5iLet z1=5−3i and z2=3+2iThus conjugate of z2 is ¯z2=3−2iHence require sum is z1+¯z2=8−5iHence option (d) is correct choice

What is the sum of $5 - 3 i$ and the conjugate of $3 + 2 i$ ?

The correct option is D $8 - 5 i$
Let $z_{1} = 5 - 3 i$ and $z_{2} = 3 + 2 i$
Thus conjugate of $z_{2}$ is $_{2} = 3 - 2 i$
Hence require sum is $z_{1} +_{2} = 8 - 5 i$
Hence option (d) is correct choice