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The points, z1,z2,z3,z4, in the complex ...

The points, `z_1,z_2,z_3,z_4,` in the complex plane are the vartices of a parallelogram taken in order, if and only if

A

`z_1+z_4=z_2+z_3`

B

`z_1+z_3=z_2+z_4`

C

`z_1+z_2=z_3+z_4`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Since `z_1,z_2,z_3,z_4` are the vertices of parallelogram

`therefore` Mid- point of AC =mid -point of BD
`rArr (z_1+z_3)/(2)=(z_2+z_4)/(2)`
`rArr z_1+z_3= z_2 + z_4`
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