Question

If $\alpha ,\beta ,\gamma ,\delta$ are the roots of the equation $x^4-16x^3+86x^2-176x+105=0$, then match the elements of List I with elements of List II:

List I	List II
I) $\sum \alpha$	a) $86$
II) $\sum \alpha \beta$	b) $105$
III) $\sum \alpha \beta \gamma$	c) $16$
IV) $\alpha \beta \gamma \delta$	d) $176$

Correct order for I, II, III, IV is:

• A. c, a, b, d
• B. c, b, a, d
• C. c, b, d, a
• D. c, a, d, b

Answer 1

The correct option is D c, a, d, b

Using theory of equation,
$\sum \alpha =-\frac{b}{a}=16$
$\sum \alpha \beta =\frac{c}{a}=86$
$\sum \alpha \beta \gamma =-\frac{d}{a}=176$
$\alpha \beta \gamma \delta =\frac{e}{a}=105$