JAMB Mathematics · Geometry/Trigonometry
Coordinate Geometry: JAMB Mathematics Past Questions and Answers
What the JAMB syllabus covers in Coordinate Geometry
Our summary: Using coordinates to find midpoints, gradients, distances and equations of straight lines.
- Midpoint and gradient of a line segment
- Distance between two points
- Parallel and perpendicular lines
- Equations of straight lines
Objectives
- Determine the midpoint and gradient of a line segment
- Find the distance between two points
- Identify conditions for parallelism and perpendicularity
- Find the equation of a line in the two-point form, point-slope form, slope-intercept form and the general form
Syllabus content © The Joint Admissions and Matriculation Board (UTME).
JAMB Mathematics questions on Coordinate Geometry
- JAMB 2025Obtain the equation of a straight line passing through (3, 15) whose slope = 3 1/5 .
- JAMB 2025Find the coordinates of the midpoint of line PQ given P(-3, 4) and Q(5, 6).
- JAMB 2024Find the perimeter of a triangle whose vertices pass through ( 3, 2), (4, 5) and (6, 2) in surd form.
- JAMB 2024P(x, 4) and Q( 10, 8) are two points joined by a straight line in a plane. If the midpoint of the line is (9, 6), find the value of x.
- JAMB 2023The line 3y + 6x = 48 passes through the points A(-2, k) and B(4, 8). Find the value of k.
- JAMB 2023Find the equation of straight line passing through (2, 3) and perpendicular to the line 3x + 2y + 4 = 0
- JAMB 2023Find the value of t, if the distance between the points P(–3, –14) and Q(t, –5) is 9 units.
- JAMB 2022Find the equation of a straight line parallel to the line 2x - y = 5 and having intercept of 5
- JAMB 2022The coordinates of the mid-point of the line joining the points (-3,5) and (2,10) is given by?
- JAMB 2021P(-6, 1) and Q(6, 6) are the two ends of the diameter of a given circle. Calculate the radius.
- JAMB 2021find the value of p if the line which passes through (-1, -p) and (-2,2) is parallel to the line 2y+8x-17=0?
- JAMB 2020Find the equation of the line through the points (5, 7) parallel to the line 7x + 5y = 12.
- JAMB 2019Find the distance between the points C(2, 2) and D(5, 6).
- JAMB 2019Find the equation of the locus of a point A(x, y) which is equidistant from B(0, 2) and C(2, 1)
- JAMB 2019Find the equation of a line perpendicular to the line 4y = 7x + 3 which passes through (-3, 1)
- JAMB 2019If P(2, m) is the midpoint of the line joining Q(m, n) and R(n, -4), find the values of m and n.
- JAMB 2018Find the equation of the line through (5,7) parallel to the line 7x + 5y = 12
- JAMB 2018Find the equation of the tangent at the point (2, 0) to the curve y = x ^2 - 2x
- JAMB 2015Find the x and z intercepts of the graph of 3x - z 9
- JAMB 2015Find the equation of a line which is form origin and passes through the point (−3, −4)
- JAMB 2015Find the distance between the points (-2,-3) and (-2,4)
- JAMB 2015If A = (−3,5) and B = (4,−1) find the co-ordinate of the mid point
- JAMB 2014The gradient of a line joining (x,4) and (1,2) is 1/2 . Find the value of x
- JAMB 2014Calculate the mid point of the line segment y - 4x + 3 = 0, which lies between the x-axis and y-axis.
- JAMB 2014Find the mid point of S(-5, 4) and T(-3, -2)
- JAMB 2013If the midpoint of the line PQ is (2,3) and the point P is (-2, 1), find the coordinate of the point Q.
- JAMB 2013Find the equation of the perpendicular bisector of the line joining P(2, -3) to Q(-5, 1)
- JAMB 2012The distance between the point (4, 3) and the intersection of y = 2x + 4 and y = 7 - x is
- JAMB 2012The gradient of the straight line joining the points P(5, -7) and Q(-2, -3) is
- JAMB 2012Find the equation of the line through the points (-2, 1) and (- 1/2 , 4)
- JAMB 2011Find the equation of a line perpendicular to line 2y = 5x + 4 which passes through (4, 2).
- JAMB 2011The midpoint of P(x, y) and Q(8, 6) is (5, 8). Find x and y.
- JAMB 2010Find the distance between the points ( 1/2 , 1/2 ) and (- 1/2 , - 1/2 ).
- JAMB 2010Find the gradient of the line passing through the points P(1, 1) and Q(2, 5).
- JAMB 2010Find the equation of a line parallel to y = -4x + 2 passing through (2,3)
- JAMB 2010What is the locus of point that is equidistant from points P(1,3) and Q(3,5)?
Years with Coordinate Geometry questions in DeeepSolve's question bank
From the past questions DeeepSolve holds, not a count of everything the exam body has set.
- 2025
- 2024
- 2023
- 2022
- 2021
- 2020
- 2019
- 2018
- 2015
- 2014
- 2013
- 2012
- 2011
- 2010