Question

The condition for the equation $b{x}^2+cx+a=0$, where a, b, c are real numbers, to be quadratic is:

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

Answer 1

The correct option is B $b\ne 0$

Consider the given quadratic equation $b{x}^2+cx+a=0$, where a, b, c are real numbers.
If b = 0, then the equation becomes cx + a = 0. Thus, it won’t be a quadratic equation anymore. But if a = 0 or c = 0, the equation will still be quadratic.

Hence, the required condition is b $\ne$ 0.