tmua.me Medium Set A Paper 2 · Question 16

tmua.me papers

tmua.me Medium Set A Paper 2 · Q16

Paper 2CalculusAlgebra

Let $f(x)=ax^2+bx+c$ , where $a$ , $b$ and $c$ are real constants and $a\ne0$ .

Consider the condition

\text{the stationary point of }y=f(x)\text{ lies above the }x\text{-axis}.

For the equation $f(x)=0$ to have no real solutions, this condition is

Anecessary but not sufficient.

Bneither necessary nor sufficient.

Csufficient but not necessary.

Dboth necessary and sufficient.

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