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Question

If z is a complex number ¯¯¯¯¯¯¯¯z1(¯z) = , then


A

1

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B

-1

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C

0

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D

None of these

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Solution

The correct option is A

1


Let z = x + iy, ¯z = x -iy and z1=1x+iy

¯¯¯¯¯¯¯¯z1=x+iyx2+y2 ; ∴ ¯¯¯¯¯¯¯¯z1¯z=x+iyx2+y2(xiy) = 1


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