Question

The question below has two statements, I and Impark your answer as
For on equation ax3 + bx2 + cx + d = 0, if its roots are α, β and y, then
Ι. $\alpha$+ $\beta$+ $\gamma$ = c/a
ΙI. $\alpha\beta\gamma$ = d

• A. Statement I is True, but not the other one.
• B. Statement II is True, but not the other one.
• C. Both the statements are True.
• D. Neither of the statements is True.

Answer 1

Answer: (B)

Statement II is True, but not the other one.

Answer 2

$a x^3 + b x^2 + c x + d = 0$, if its roots are $\alpha, \beta, \gamma$
According to question,
$\alpha + \beta + \gamma = \begin{bmatrix} -b \\\ a \end{bmatrix}$ for Statement I.
$(\alpha\times \beta) + (\beta \times \gamma) + (\gamma \times \alpha) = \frac{a}{c}$
$\alpha\ \beta\ \gamma= \frac{- d}{a}$ for Statement II.
Both the statements are not True.
The correct option is (B)