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Q.

If Z=1+i3 then match the following

Column – IColumn –II
A) Arg z1) π3
B) Arg (iz)2)π3
C) Arg(z¯)3)5π6
D) Arg(iz¯)4)π6

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a

2, 4, 1, 3

b

2, 3, 1, 4

c

2, 1, 4, 3

d

2, 3, 4, 1

answer is B.

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Detailed Solution

z=x+iy

Arg  z=tan1|yx|  if  x>0,  y>0=πtan1|yx|  if  x<0,  y>0

=π+tan1|yx|  if  x<0,  y<0=tan1|yx|  if  x>0,  y<0

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If Z=1+i3 then match the followingColumn – IColumn –IIA) Arg z1) −π3B) Arg (iz)2)π3C) Arg(z¯)3)5π6D) Arg(i z¯)4)π6