Question

Question 2 (vi)
Write whether the given statement is true or false. Justify your answer.
If the coefficient of $x^2$ and the constant term have the same sign and if the coefficient of x term is zero, then the quadratic equation has no real roots.

Answer 1

True, since in this case discriminant is always negative, so it has no real roots i.e. if b = 0 then$b^2$ – 4ac $\Rightarrow$ - 4ac < 0 as ac > 0 .