Question

For a Quadratic equation $a{x}^2+bx+c=0$ where $a$, $b$ and $c$ are real. which of the following option is/are correct ?

• A. It equation can have more than two roots.
• B. It can have one real root and one imaginary root.
• C. Both the roots of this quadratic equation can't be irrational together.
• D. It represents a parabola over x-y plane.

Answer 1

The correct option is D It represents a parabola over x-y plane.

Given it is a quadratic equation in which its all coefficients are real

Coefficients are real, but we can't say that the roots are real or imaginary because it depends on descriminant $\left(\sqrt{b^2-4ac}\right)$

We can just say it is a parabola over x-y axis