Question

If p,q are the roots of a quadratic equation $a{x}^2+bx+c$, then what is value of (a)$\times$(p)$\times$(q)

• A. c
• B. a
• C. b
• D. -b

Answer 1

The correct option is A

c

We know that if quadratic equation is given in form $a{x}^2+bx+c$

Then sum of the roots of the equation is $\frac{(-b)}{a}$

Product of roots of the equation is $\frac{c}{a}$

Here we have been asked to find the value of (a)$\times$(p)$\times$(q)

We know pq=$\frac{c}{a}$

So (a)$\times$(p)$\times$(q) = c