tmua.me Medium Set E Paper 1 · Question 15

tmua.me papers

tmua.me Medium Set E Paper 1 · Q15

Paper 1GeometryAlgebra

The curve $C$ has equation

y=x^4-6x^2.

For a real number $a$ , let $L_a$ be the tangent to $C$ at the point with $x$ -coordinate $a$ .

For which values of $a$ is every point of $C$ on or above $L_a$ ?

a\leq-1\ \text{or}\ a\geq1

a<-\sqrt3\ \text{or}\ a>\sqrt3

-\sqrt3\leq a\leq\sqrt3

a\leq-\sqrt3\ \text{or}\ a\geq\sqrt3

a\geq\sqrt3

a\leq-\sqrt2\ \text{or}\ a\geq\sqrt2

Read the questions freely. Sign in to check your answer, see the worked solution and save your progress.