The line segment joining $(1, 2)$ and $(7, 10)$ is a diameter of a circle. Which of these points lies on the circle?

Practise more Coordinate geometry.

Free questions with an explanation for every one, and full timed TMUA mock tests.

All Coordinate geometry questions Take a mock test

More Coordinate geometry questions

The line through $A (1, 3)$ and $B (4, 9)$ crosses the $x$ -axis at the point $(p, 0)$ . What is $p$ ?
$A$ 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 $k$ ?
What is the area of the triangle with vertices $(0, 0)$ , $(6, 0)$ and $(2, 5)$ ?