Consider a line $z (i - 1) + ¯ Z (i + 1) = 0$ in the argand plane and a point $z_{1} = 2 + 3 i$ then the reflection of $z_{1}$ in the given line is

2 – 3i

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-2 + 3i

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3 + 2i

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- 2 - 3i

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Solution

The correct option is C 3 + 2i
If z = x + iy then (x+ iy) (i -1) + (x-iy)(i +1) =0
The given line can be written as y = x
Hence reflection of 2+3i is 3 + 2i

Suggest Corrections

Similar questions

Reflection of the complex number $\frac{2 - i}{3 + i}$ in the straight line $z (1 + i)$ = $¯ z (i - 1)$ is

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

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z

Reflection of the complex number $\frac{2 - i}{3 + i}$ in the straight line $z (1 + i)$ = $¯ z (i - 1)$ is

z_{1} = 3 + \sqrt{3} i and z_{2} = 2 \sqrt{3} + 6 i

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C

| z_{1} | = | z_{2} | = | z_{1} + z_{2} | = 0

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\frac{\sqrt{3}}{4} | z_{1} |^{2}

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