Cambridge A-Level · Mathematics

Coordinate geometry

15 practice questions, each with the answer and an explanation.

Practise Coordinate geometry now

Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

What is the distance of the point $(5, - 1)$ from the line $3 x + 4 y + 8 = 0$ ?
What is the distance of the point $(- 1, 4)$ from the line $6 x + 8 y + 19 = 0$ ?
What is the distance of the point $(2, 4)$ from the line $5 x + 12 y + 2 = 0$ ?
What is the distance of the point $(5, - 3)$ from the line $3 x + 4 y + 11 = 0$ ?
What is the distance of the point $(6, 3)$ from the line $6 x + 8 y + 7 = 0$ ?
What is the distance of the point $(0, 5)$ from the line $5 x + 12 y - 12 = 0$ ?
What is the distance of the point $(- 1, 5)$ from the line $6 x + 8 y - 12 = 0$ ?
What is the distance of the point $(3, 6)$ from the line $3 x + 4 y - 3 = 0$ ?
What is the distance of the point $(- 3, 1)$ from the line $3 x + 4 y - 16 = 0$ ?
What is the distance of the point $(3, 4)$ from the line $8 x + 15 y - 9 = 0$ ?
What is the distance of the point $(1, 4)$ from the line $5 x + 12 y - 7 = 0$ ?
What is the distance of the point $(3, 3)$ from the line $5 x + 12 y + 0 = 0$ ?
The circle $x^{2} + y^{2} - 6 x + 4 y - 12 = 0$ passes through the point $P (6, 2)$ . The tangent at $P$ crosses the $y$ -axis at the point $(0, c)$ . What is $c$ ?
The line $y = x + k$ is a tangent to the circle $(x - 2)^{2} + (y + 1)^{2} = 8$ . What is the product of the two possible values of $k$ ?
$A$ is the point $(1, 2)$ and $B$ is the point $(7, 4)$ . There are two points $P$ on the $x$ -axis for which angle $A P B = 9 0^{\circ}$ . What is the distance between these two points?