TMUA 2022 Paper 2 Q4 — Worked Solution

P2·Coordinate Geometry·5.0Official · 2022 · Q4

circle-centrecompleting-the-squaresufficiency-of-data

The point

P

has coordinates

(p, q)

, and the equation of a circle is

x^{2} + 2 f x + y^{2} + 2 g y + h = 0

where

f

g

h

p

and

q

are all real constants.Let

L

be the distance between the centre of the circle and the point

P

.Which one of the following is sufficient on its own to be able to calculate

L

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