1.9.16 Implicit differentiation (A-level only)

The path of a particle in a non-uniform magnetic field is modelled by a curve with equation

x - 2y)^2 = 4x + 11y + 12

The path intersects the positive $x$ -axis at the point $P$ .

Show that the gradient of the curve at $P$ is $835\frac{8}{35}$ .

[5]

Find the equation of the normal to the curve at $P$ , giving your answer in the form $a x + b y = c$ , where $a$ , $b$ and $c$ are integers.

[3]

1.9.16 Implicit differentiation (A-level only) Questions

The path of a particle in a non-uniform magnetic field is modelled by a curve with equation

x - 2y)^2 = 4x + 11y + 12

The path intersects the positive $x$ -axis at the point $P$ .

Show that the gradient of the curve at $P$ is $835\frac{8}{35}$ .

[5]

Find the equation of the normal to the curve at $P$ , giving your answer in the form $a x + b y = c$ , where $a$ , $b$ and $c$ are integers.

[3]