If the point represented by the complex number iz is rotated about the origin through the angle π2 in the counter clockwise direction then the complex number representing the new position is
A
iz
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B
−iz
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C
−z
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D
z
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Solution
The correct option is C−z When a complex number z is rotated by an angle θ in the anticlockwise direction, the resultant complex number is given by z×eiθ
Similarly, here the resultant complex number is given by (iz)×e(iπ2)=(iz)×i=−z