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  1. Problems
  2. /Coordinate Geometry

Coordinate Geometry

Mathematics
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23 problems
Type:
1.
For what value of k do A(-1, 4), B(1, 1) and C(5, k) lie on one straight line?
High School (9–10), General · Distance, Midpoint and Section FormulaeStemPy LabStemPy Lab
Hard
2.
Say what kind of triangle has the corners A(2, 1), B(6, 4) and C(-1, 5).
High School (9–10), General · Distance, Midpoint and Section FormulaeStemPy LabStemPy Lab
Medium
3.
Find the two points that divide the line joining A(-4, 5) and B(8, -1) into three equal parts.
High School (9–10), General · Distance, Midpoint and Section FormulaeStemPy LabStemPy Lab
Hard
4.
Find the point P that divides the line from A(-2, 3) to B(8, -2) in the ratio 3 : 2.
High School (9–10), General · Distance, Midpoint and Section FormulaeStemPy LabStemPy Lab
Medium
5.
The midpoint of AB is M(-1, 2), and A = (3, -4). Find B.
High School (9–10), General · Distance, Midpoint and Section FormulaeStemPy LabStemPy Lab
Medium
6.
Find the midpoint of the segment joining A(-7, 4) and B(3, -8).
High School (9–10), General · Distance, Midpoint and Section FormulaeStemPy LabStemPy Lab
Easy
7.
Find the point on the y-axis that is equally far from A(5, 1) and B(-3, 5). How far is it from each?
High School (9–10), General · Distance, Midpoint and Section FormulaeStemPy LabStemPy Lab
Medium
8.
The distance between (x, 5) and (2, -1) is 10 units. Find x.
High School (9–10), General · Distance, Midpoint and Section FormulaeStemPy LabStemPy Lab
Medium
9.
Find the distance between A(2, 3) and B(7, 9), to two decimal places.
High School (9–10), General · Distance, Midpoint and Section FormulaeStemPy LabStemPy Lab
Easy
10.
Find the distance of each point from the origin. (9, 12); (-20, 21); (1, -1)
High School (9–10), General · Distance, Midpoint and Section FormulaeStemPy LabStemPy Lab
Easy
11.
The point P(a, b) is reflected in the y-axis.
High School (9–10), General · The Cartesian PlaneStemPy LabStemPy Lab
Hard
12.
A(-1, 1), B(3, 1) and C(4, 8) are three corners of the parallelogram ABCD.
High School (9–10), General · The Cartesian PlaneStemPy LabStemPy Lab
Hard
13.
Find the distance between each pair of points. (-7, -3) and (4, -3); (-5, 6) and (-5, -2)
High School (9–10), General · The Cartesian PlaneStemPy LabStemPy Lab
Medium
14.
Three corners of a rectangle are (-3, -1), (2, -1) and (2, 5).
High School (9–10), General · The Cartesian PlaneStemPy LabStemPy Lab
Medium
15.
Find the reflection of the point (-5, 2) in (a) the x-axis, (b) the y-axis, (c) the origin.
High School (9–10), General · The Cartesian PlaneStemPy LabStemPy Lab
Medium
16.
The point (3k - 12, -2) lies on the y-axis.
High School (9–10), General · The Cartesian PlaneStemPy LabStemPy Lab
Medium
17.
Where can the point (x, y) lie in each case?
High School (9–10), General · The Cartesian PlaneStemPy LabStemPy Lab
Medium
18.
Say where each point lies, in a quadrant or on an axis: (-4, 7), (6, -1), (-3, -3), (2, 8), (0…
High School (9–10), General · The Cartesian PlaneStemPy LabStemPy Lab
Easy
19.
Say whether each statement is true or false.
High School (9–10), General · The Cartesian PlaneStemPy LabStemPy Lab
Easy
20.
Write the coordinates of each point. 6 units to the right of the y-axis and 1 unit below the x-axis.
High School (9–10), General · The Cartesian PlaneStemPy LabStemPy Lab
Easy
21.
The line 2x + 7y = 28 and the two axes enclose a triangle.
High School (9–10), General · Linear Equations in Two Variables, Straight LinesStemPy LabStemPy Lab
Hard
22.
Find three solutions of 3x - y = 0. Why does its line pass through the origin?
High School (9–10), General · Linear Equations in Two Variables, Straight LinesStemPy LabStemPy Lab
Medium
23.
A taxi charges a fixed 4 dollars and then 2.5 dollars for each kilometre.
High School (9–10), General · Linear Equations in Two Variables, Straight LinesStemPy LabStemPy Lab
Medium