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Standard XII

Mathematics

Complex Numbers

The locus of ...

Question

The locus of complex number z such that z is purely real and real part is equal to - 2 is

Negative y-axis

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Negative x-axis

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The point (-2, 0)

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The point (2, 0)

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Solution

The correct option is C The point (-2, 0)
$z = x + i y$
$(x, y)$
$z$ is purely real and the real part equals $- 2$
$∴ y = 0$ & $x = - 2$
$z = - 2$
Hence, this would be represented by the point (-2,0) on the Argand Plane.

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The locus of complex number z such that z is purely real and real part is equal to - 2 is

The correct option is C The point (-2, 0)z=x+iy(x,y)z is purely real and the real part equals −2∴y=0 & x=−2z=−2Hence, this would be represented by the point (-2,0) on the Argand Plane.

The correct option is C The point (-2, 0)
$z = x + i y$
$(x, y)$
$z$ is purely real and the real part equals $- 2$
$∴ y = 0$ & $x = - 2$
$z = - 2$
Hence, this would be represented by the point (-2,0) on the Argand Plane.