(B) Let the complex number be $z = x + iy$.The multiplicative inverse of $z$ is $\frac{1}{z}$.According to the problem,$z = \frac{1}{z}$,which implies

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(B) Let the complex number be $z = x + iy$.The multiplicative inverse of $z$ is $\frac{1}{z}$.According to the problem,$z = \frac{1}{z}$,which implies $z^2 = 1$.Solving for $z$,we get $z = \pm 1$.Among the given options,$-1$ is the value that satisfies the condition $z^2 = 1$.

Class 11 Mathematics 4-1.Complex numbers Integral power of iota, Algebraic operations and Equality of complex numbers

Easy

If the multiplicative inverse of a complex number is the number itself,then the number is:

A
$i$
B
$-1$
C
$2$
D
$-i$

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4-1.Complex numbers

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Integral power of iota, Algebraic operations and Equality of complex numbers

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If the multiplicative inverse of a complex number is the number itself,then the number is:

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