If - - and - are the roots of px 3- q - 2- r -0- then the value of - yy - y - YisA- -rpB- - - qPC- 0D- 1

The correct option is C 0For nbsp;the nbsp;given nbsp;equation nbsp;px3+qx2+r=0,Sum nbsp;of nbsp;product nbsp;of nbsp;the nbsp;roots nbsp;ta ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Properties of Determinants

If α, β and γ...

Question

$If α, β and γ are the roots of {px}^{3} + {qx}^{2} + r = 0, then the value of ⎛ ⎜ ⎝ \begin{matrix} αβ & βγ & γα βγ & γα & αβ γα & αβ & βγ \end{matrix} ∣ ∣ ∣ ∣ ∣$
$is$ .

\frac{- r}{p}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{- q}{p}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

0

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

Suggest Corrections

Similar questions

If α, β and γ are the roots of {px}^{3} + {qx}^{2} + r = 0, then the value of ⎛ ⎜ ⎝ \begin{matrix} αβ & βγ & γα βγ & γα & αβ γα & αβ & βγ \end{matrix} ∣ ∣ ∣ ∣ ∣

is

α, β, γ

p x^{3} + q x^{2} + r = 0,

∣ ∣ ∣ ∣ ∣ \begin{matrix} α β & β γ & γ α β γ & γ α & α β γ α & α β & β γ \end{matrix} ∣ ∣ ∣ ∣ ∣

(α, β), (β, γ), (γ, α)

x^{2} - 2 p x + 2 = 0; x^{2} - 2 q x + 3 = 0; x^{2} - 2 r x + 6 = 0

α, β, γ

p + q + r

α, β, γ

x^{3} + q x + q = 0

(α + β)^{- 1} (β + γ)^{- 1} + (γ + α)^{- 1}

α, β, γ

x^{3} + p x + r = 0

\frac{1 + α}{1 - α} + \frac{1 + β}{1 - β} + \frac{1 + γ}{1 - γ}

Join BYJU'S Learning Program