If a- b- c are roots of the equation x3-2 x2-1-0- then beginvmatrix a - b - c l lb- c - allc - a - blend vmatrix -1 A- 2B- 0C- 8D- -8

The correct option is C 8a amp; b amp; c b amp; c amp; a c amp; a amp; b =3abc a^3 b^3 c^3 = (a+b+c)((a+b+c)^2 3(ab+bc+ca)) = ( 2)(( 2)^2 ...

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

Relation between Roots and Coefficients for Quadratic

If a, b, c ar...

Question

If a, b, c are roots of the equation $x^{3} + 2 x^{2} + 1 = 0$ , then $∣ ∣ ∣ ∣ \begin{matrix} a & b & c b & c & a c & a & b \end{matrix} ∣ ∣ ∣ ∣ =$

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

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

- 8

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

Open in App

Solution

Suggest Corrections

Similar questions

If a, b, c are the roots of the equation $x^{3} + 2 x^{2} + 1 = 0$ . Find the equation whose roots are b + c - a,c + a - b, a + b - c.

a^{3} ∣ ∣ ∣ ∣ ∣ \begin{matrix} 1 & b & c b^{2} & b^{3} + 1 & b^{2} c c^{2} & b c^{2} & c^{3} + 1 \end{matrix} ∣ ∣ ∣ ∣ ∣ + a^{2} ∣ ∣ ∣ ∣ ∣ \begin{matrix} \frac{1}{a^{2}} & 0 & 0 b & b^{3} + 1 & b c^{2} c & b^{2} c & c^{3} + 1 \end{matrix} ∣ ∣ ∣ ∣ ∣ = 18,

a, b, c \geq 0,

(a, b, c)

∣ ∣ ∣ ∣ \begin{matrix} 0 & a & - b - a & 0 & c b & - c & 0 \end{matrix} ∣ ∣ ∣ ∣ =

a, b

c

x^{3} + 2 x^{2} + 1 = 0

∣ ∣ ∣ ∣ \begin{matrix} a & b & c b & c & a c & a & b \end{matrix} ∣ ∣ ∣ ∣

x^{3} + 1 = 0

a x^{2} + b x + c = 0, a, b, c \in R

a + b

Join BYJU'S Learning Program