CirclesEdexcel A-Level Maths: Mind map

Exam questions on Circles

1. A circle $C$ has equation $x^2+y^2-6x+4y-12=0$.
   Determine whether the point $(6,3)$ lies inside, outside or on $C$. Show your working.2 marks
2. A circle has centre $C(2,1)$ and passes through the point $A(5,5)$.
   Find the equation of the tangent to the circle at $A$, giving your answer in the form $ax+by+c=0$, where $a$, $b$ and $c$ are integers.2 marks
3. The points $A(-1,2)$ and $B(5,10)$ are the endpoints of a diameter of a circle $S$.
   Find the equation of $S$.3 marks