Question

A quadratic equation in $x$ is $a{x}^2+bx+c=0$, where $a,b,c$ are real numbers and the other condition is

• A. $a\ne 0$
• B. $b\ne 0$
• C. $c\ne 0$
• D. $b=0$

Answer 1

The correct option is A $a\ne 0$

$a,b$ and $c$ are constants in the equation.
As $x$ is raised to power $2$ it is a quadratic equation.
If $a=0$, then it will nullify $x^2$, making it a linear equation.
So only if $a\ne 0$, the equation remains quadratic.
Option A is correct.