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Let alpha and beta be two fixed non-zero...

Let `alpha` and `beta` be two fixed non-zero complex numbers and 'z' a variable complex number. If the lines `alphabarz+baralphaz+1=0` and `betabarz+barbetaz-1=0` are mutually perpendicular, then

A

`alphabeta+bar(alpha)bar(beta)=0`

B

`alphabeta-bar(alpha)bar(beta)=0`

C

`bar(alpha)beta-alphabar(beta)=0`

D

`alphabar(beta)+bar(alpha)beta=0`

Text Solution

Verified by Experts

The correct Answer is:
D
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