coordinate geometry

Question 1

perpendicular bisector

Answer 1

o Midpoint of 2 points + negative reciprocal of gradient

Question 1

equation of circle - radius + centre

Answer 1

 Centre (a,b) & radius r

Question 2

how to get into circle form

Answer 2

complete square

Question 3

circle theorums

Answer 3

Question 4

significance of right angle in circle

Answer 4

If you know 2 lines in circle are perpendicular = hypotenuse is diameter

Question 5

significance of radius bisecting chord

Answer 5

Perpendicular bisector of any two points of chord will pass through centre = if you have 3 points find equations of 2 perpendicular bisectors = point they meet is centre of circle

Question 6

 Determining whether 2 circles intersect or not

Answer 6

Question 7

 Cartesian to parametric

Answer 7

Question 8

 Points of intersection of parametric

Answer 8

match the x and the ys

Question 9

Parametric to cartesian

Answer 9

Rearrange for t and substitute

Can’t always do that – use trig identities or add both + minus both

Question 10

 Ellipse vs circle

Answer 10