The complex number z=1+i represented by the point P in argand plane and OP is rotated by an angle of π2 in counter clock wise direction then the resulting complex number is
A
¯¯¯z
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B
z
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C
−¯¯¯z
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D
¯¯¯z|z|2
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Solution
The correct option is C−¯¯¯z z=1+i ∴argz=tan−1(11)=π4 Let the complex number obtained after rotation be z1 ∴arg(z1)=π4+π2 =3π4 z1=−1+i