The correct options are
A γ=r
B 1α+1β=p+r
C Harmonic mean of α,β,γ=−3rq
D r2+pr+q=−1
α,β,γ be the non zero real roots of the equation x3+px2+qx+r=0
Then, α+β+γ=−p
and αβγ=−r
⇒γ=r(∵αβ+1=0)
Also, αβ+(α+β)γ=q
⇒−1+(−p−γ)γ=q
⇒−1−(p+r)r=q
⇒r2+pr+q=−1
1α+1β=α+βαβ=−p−r−1=p+r
H.M of α,β,γ=31α+1β+1γ
=3p+r+1r=3rpr+r2+1
=3r−q=−3rq.