Parametric Equations

Question 1

Cartesian equations describe

Answer 1

Graphs in x,y plane

They are single equation linking x and y

Question 2

Parametric equation

Answer 2

Two linked equations used for more complex graphs

X and y defined separately in terms of third variable called parameter

T or circle with line in middle

Question 3

Sketching parametric graph

Answer 3

Choose t values use table of coordinates and plot x,y coor

Question 4

Finding parameter of x and y

Answer 4

Given variable to substitute

EASY

Question 5

Circle can be given by parametric equations.

Answer 5

X = r cos t + a

Y = r sin t + b

Centre (a,b)

Radius r

Question 6

Use parametric equations to find where graphs intersect.

Answer 6

When two ts give the same coordinate that’s when the line crosses over itself.

Sub parametric equations into line equation.

Rearrange factorise to find t values

Go back to parametric and use t values to find x and y coordinates.