Singapore GCE O-Level · Additional Mathematics

Coordinate geometry

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

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

All 34 questions

Find the midpoint of the line segment joining $A (1, 2)$ and $B (5, 8)$ .
Find the midpoint of the line segment joining $A (- 2, 3)$ and $B (4, - 1)$ .
Find the midpoint of the line segment joining $A (0, - 3)$ and $B (6, 5)$ .
Find the midpoint of the line segment joining $A (2, 2)$ and $B (8, 10)$ .
Find the midpoint of the line segment joining $A (- 4, - 1)$ and $B (2, 7)$ .
Find the midpoint of the line segment joining $A (3, 0)$ and $B (9, 8)$ .
Find the equation of the line through $(1, 2)$ with gradient $3$ .
Find the equation of the line through $(2, - 1)$ with gradient $- 2$ .
Find the equation of the line through $(- 3, 4)$ with gradient $2$ .
Find the equation of the line through $(0, 5)$ with gradient $- 1$ .
Find the equation of the line through $(4, 3)$ with gradient $5$ .
Find the equation of the line through $(- 1, - 2)$ with gradient $4$ .
A line has gradient $2$ . What is the gradient of a line perpendicular to it?
A line has gradient $3$ . What is the gradient of a line perpendicular to it?
A line has gradient $- 2$ . What is the gradient of a line perpendicular to it?
A line has gradient $4$ . What is the gradient of a line perpendicular to it?
A line has gradient $- 3$ . What is the gradient of a line perpendicular to it?
A line has gradient $5$ . What is the gradient of a line perpendicular to it?
Find the length of $A B$ , where $A$ is $(0, 0)$ and $B$ is $(6, 8)$ .
Find the length of $A B$ , where $A$ is $(1, 1)$ and $B$ is $(7, 9)$ .
Find the length of $A B$ , where $A$ is $(- 3, 2)$ and $B$ is $(3, 10)$ .
Find the length of $A B$ , where $A$ is $(2, - 2)$ and $B$ is $(10, 4)$ .
Find the length of $A B$ , where $A$ is $(- 1, 0)$ and $B$ is $(4, 12)$ .
Find the centre and radius of the circle $x^{2} + y^{2} - 2 x - 4 y - 4 = 0$ .
Find the centre and radius of the circle $x^{2} + y^{2} + 4 x - 6 y - 3 = 0$ .
Find the centre and radius of the circle $x^{2} + y^{2} - 6 x + 2 y - 15 = 0$ .
Find the centre and radius of the circle $x^{2} + y^{2} - 8 y + 12 = 0$ .
Find the centre and radius of the circle $x^{2} + y^{2} + 6 x + 4 y - 23 = 0$ .
Find the centre and radius of the circle $x^{2} + y^{2} - 4 x - 10 y + 28 = 0$ .
Find the area of the triangle with vertices $(0, 0)$ , $(4, 0)$ and $(0, 3)$ .
Find the area of the triangle with vertices $(1, 1)$ , $(5, 1)$ and $(1, 4)$ .
Find the area of the triangle with vertices $(2, 0)$ , $(8, 0)$ and $(2, 6)$ .
Find the area of the triangle with vertices $(0, 0)$ , $(6, 0)$ and $(0, 8)$ .
Find the area of the triangle with vertices $(- 1, - 1)$ , $(3, - 1)$ and $(- 1, 5)$ .

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Coordinate geometry in other exams

Coordinate geometry for JEE Main32 questions
Coordinate geometry for JEE Advanced28 questions
Coordinate geometry for TMUA16 questions
Coordinate geometry for Cambridge A-Level15 questions
Coordinate geometry for CBSE Class 1012 questions
Coordinate geometry for WBJEE8 questions

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