The curve $C\,$ has parametric equations

$x = t^2 - 4$ , $y = t^3 - 4t$ , $\in \mathbb{R}$

Show that $C\,$ crosses itself at the origin, and state the two values of $t\,$ for which $C\,$ passes through the origin.

Find an equation of the tangent to $C\,$ at the point where $t = 2$ .

Hence write down an equation of the other tangent to $C\,$ at the origin.

The curve $C\,$ has parametric equations

$x = t^2 - 4$ , $y = t^3 - 4t$ , $\in \mathbb{R}$

Show that $C\,$ crosses itself at the origin, and state the two values of $t\,$ for which $C\,$ passes through the origin.

Find an equation of the tangent to $C\,$ at the point where $t = 2$ .

Hence write down an equation of the other tangent to $C\,$ at the origin.

3 Unit A2 1: Pure Mathematics (A-level only)

3 Unit A2 1: Pure Mathematics (A-level only) Questions