The curve $C\,$ has parametric equations

$3\cos\theta$ , $2\sin\theta$ , where $\leq \theta < 2\pi$

Show that a Cartesian equation for $C\,$ is $x29+y24=1\dfrac{x^2}{9} + \dfrac{y^2}{4} = 1$ .

The point $P\,$ on $C\,$ has parameter $θ=π3\displaystyle \theta = \frac{\pi}{3}$ .

Show that the tangent to $C\,$ at $P\,$ has equation

$3\sqrt{3}y = 12$

The curve $C\,$ has parametric equations

$3\cos\theta$ , $2\sin\theta$ , where $\leq \theta < 2\pi$

Show that a Cartesian equation for $C\,$ is $x29+y24=1\dfrac{x^2}{9} + \dfrac{y^2}{4} = 1$ .

The point $P\,$ on $C\,$ has parameter $θ=π3\displaystyle \theta = \frac{\pi}{3}$ .

Show that the tangent to $C\,$ at $P\,$ has equation

$3\sqrt{3}y = 12$

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

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