Let `alpha,beta "and " gamma` are three distinct roots of  `|{:(x-1,-6,2),(-6,x-2,-4),(2,-4,x-6):}|`
Channel: Doubtnut
Date: 2020-05-24

Let `alpha,beta "and " gamma` are three distinct roots of  `|{:(x-1,-6,2),(-6,x-2,-4),(2,-4,x-6):}|` =0 the value of `((1)/(alpha)+(1)/(beta)+(1)/(gamma))^(-1)` is