TMUA Official 2022 Paper 2 · Question 4

The point $P$ has coordinates $(p,q)$ , and the equation of a circle is

x^2+2fx+y^2+2gy+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 $L$ ?

Athe values of

f

g

and

h

Bthe values of

f

g

p

and

q

Cthe values of

f

h

p

and

q

Dthe values of

g

h

p

and

q

Enone of the options A–D is sufficient on its own

examday