Coordinate systems

WFM01Topic 1.42 questions

Parabolas and rectangular hyperbolas in Cartesian and parametric form, with tangents and normals.

Specification points

Specification points for this topic are coming soon.

Get a plain-language explanation, a worked example and the usual mistake.

Sign in to get a plain-language explanation of any specification point.

Original practice questions written in the style of the exam.

dy

=

−x216

A1 At

x = 8

the tangent gradient is

-\tfrac{1}{4}

, so the normal gradient is

4

(1)

A1

y - 2 = 4(x - 8) \Rightarrow y = 4x - 30

(1)

M1 Substitutes into

H

:

x(4x - 30) = 16

(1)

A1

2x^2 - 15x - 8 = 0 \Rightarrow (2x + 1)(x - 8) = 0

(1)

A1

Q\left(-\tfrac{1}{2}, -32\right)

(1)