The line through $A (1, 3)$ and $B (4, 9)$ crosses the $x$ -axis at the point $(p, 0)$ . What is $p$ ?

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$A$ is the point $(- 1, 2)$ and $B$ is the point $(5, 6)$ . The perpendicular bisector of $A B$ crosses the $y$ -axis at $(0, c)$ . What is $c$ ?
The circle $x^{2} + y^{2} - 6 x + 4 y - 3 = 0$ has radius $r$ . What is $r$ ?
A circle has centre $(4, 5)$ and radius $3$ . What is the shortest distance from the point $(1, 1)$ to the circle?
The line $y = x + k$ with $k > 0$ is a tangent to the circle $x^{2} + y^{2} = 8$ . What is $k$ ?
The line segment joining $(1, 2)$ and $(7, 10)$ is a diameter of a circle. Which of these points lies on the circle?
What is the area of the triangle with vertices $(0, 0)$ , $(6, 0)$ and $(2, 5)$ ?