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|{:("6i " "-3i " "1" ),("4 " " 3i" " -1"...

`|{:("6i " "-3i " "1" ),("4 " " 3i" " -1"),("20 " "3 " " i"):}|`=x+iy then

A

x=3,y=1

B

x=1,y=1

C

x=0,y=3

D

x=0,y=0

Text Solution

Verified by Experts

The correct Answer is:
D
Given`|{:("6i " "-3i " "1" ),("4 " " 3i" " -1"),("20 " "3 " " i"):}|=x+iy `
`rArr -3i|{:("6i " "-3i " "1" ),("4 " " 3i" " -1"),("20 " "3 " " i"):}|=x+iy`
`rArr " " x+ iy=0 [ because C_2 and C_3` are identical ]
`rArr " "x=0, y=0`
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