Question

Which of the following is not true?
(a) Every quadratic equation can have at the most two real roots.
(b) Some quadratic equations do not have any real root.
(c) Some quadratic equations may have one real root.
(d) Every quadratic equations has two real roots.

Answer 1

$$\begin{gathered} \text{(d) Every quadratic equations has two real roots.} \\ \mathrm{An}\mathrm{equation}\mathrm{may}\mathrm{or}\mathrm{may}\mathrm{not}\mathrm{have}\mathrm{real}\mathrm{roots}. \end{gathered}$$