The points $A (1, 2)$ and $B (5, 8)$ are given. What is the equation of the perpendicular bisector of $A B$ ?

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A circle has equation $x^{2} + y^{2} - 6 x + 4 y - 12 = 0$ . What are its centre and radius?
The line $y = 2 x + k$ is a tangent to the circle $x^{2} + y^{2} = 5$ . What are the possible values of $k$ ?
A triangle has vertices $(1, 1)$ , $(7, 3)$ and $(3, 7)$ . What is its area?
What is the equation of the tangent to the circle $x^{2} + y^{2} = 25$ at the point $(3, 4)$ ?
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