8.
The circle with equation \(( x - 7 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 5\) has centre \(C\).
- Write down the radius of the circle.
[0pt]
[1 mark]
- (ii) Write down the coordinates of \(C\).
[0pt]
[1 mark] - The point \(P ( 5 , - 1 )\) lies on the circle.
Find the equation of the tangent to the circle at \(P\), giving your answer in the form \(y = m x + c\)
[0pt]
[4 marks] - The point \(Q ( 3,3 )\) lies outside the circle and the point \(T\) lies on the circle such that \(Q T\) is a tangent to the circle. Find the length of \(Q T\).
[0pt]
[4 marks]