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Home > Geometry calculators > Coordinate Geometry
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Educational Level
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Secondary school, High school and College |
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Program Purpose
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Provide step by step solutions of your problems using online calculators (online solvers)
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Problem Source
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Your textbook, etc |
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1.1 Distance, Slope of two points
1. Find the distance between the two points A(7,8) and B(1,0)
2. Find the slope of the line joining two points A(7,8) and B(1,0)
1.2 Find the value of x or y
3. If distance between the points (5,3) and (x,-1) is 5, then find the value of x
4. If the slope of a line joining A(2,x) and B(-3,7) is 1, then find the value of x
2. Points are Collinear or Triangle or Quadrilateral form
1. Collinear points (3 points)
2. Show that the points are the vertices of a right angled triangle
3. Show that the points are the vertices of an equilateral triangle
4. Show that the points are the vertices of an isosceles triangle
5. Show that the points are collinear (4 points)
6. Show that the points are the vertices of a square
7. Show that the points are the vertices of a rectangle
8. Show that the points are the vertices of a rhombus
9. Show that the points are the vertices of a parallelogram
3. Find Ratio
1. Find the ratio in which the point P(3/4, 5/12) divides the line segment joining the points A(1/2, 3/2) and B(2, -5)
2. Find a point which divides the line joining A(-4,1) and B(17,10) in the ratio 1:2
3. In what ratio does the x-axis divide the join of A(2,-3) and B (5,6)? Also find the coordinates of the point of intersection
4. Find the ratio in which the point P(x,4) divides the line segment joining the points A(2,1) and B(7,6)? Also find the value of x
4. Find Midpoint or Trisection points or equidistant points on X-Y axis
1. Find the coordinates of the midpoint of the line segment joining the points A(-5, 4) and B(7, -8)
2. Find the trisectional points of line joining A(-3,-5) and B(-6,-8)
3. Find the point on the x-axis which is equidistant from A(5,4) and B(-2,3)
4. Find the point on the y-axis which is equidistant from A(6,5) and B(-4,3)
5. Find Centroid, Circumcenter, Area of a triangle
1. Find the centroid of a triangle whose vertices are A(4,-6),B(3,-2),C(5,2)
2. Find the circumcentre of a triangle whose vertices are A(-2,-3),B(-1,0),C(7,-6)
3. Using determinants, find the area of the triangle with vertices are A(-3,5),B(3,-6),C(7, 2)
4. Using determinants show that the following points are collinear A(2,3),B(-1,-2),C(5,8)
6. Find the equation of a line using slope, point, X-intercept, Y-intercept
1. Find the equation of a straight line passing through A(-4,5) and having slope -2/3
2. Find the equation of a straight line passing through the points A(7,5) and B(-9,5)
3. Find the equation of a line having slope 1/2 and y-intercept -3
4. Find the equation of a line whose x-intercept is 5 and y-intercept is 2
7. Find Slope, X-intercept, Y-intercept of a line
1. Find the slope and y-intercept of the line 2x+3y=4
2. Find x-intercept and y-intercept of the line 2x+3y=4
3. Find the slope, x-intercept and y-intercept of the line 2x+3y=4
4. Find the slope, x-intercept and y-intercept of the line joining the points A(1,3) and B(3,5)
8. Find the equation of a line passing through point of intersection of two lines and slope or a point
1. Find the equation of a line passing through the point of intersection of lines 3x+4y=7 and x-y+2=0 and having slope 5
2. Find the equation of a line passing through the point of intersection of lines 4x+5y+7=0 and 3x-2y-12=0 and point A(3,1)
9. Find the equation of a line passing through a point and parallel or perpendicular to Line-2 or point-2 and point-3
1. Find the equation of the line passing through the point A(5,4) and parallel to the line 2x+3y+7=0
2. Find the equation of the line passing through the point A(1,1) and perpendicular to the line 2x-3y+2=0
3. Find the equation of the line passing through the point A(1,3) and parallel to line passing through the points B(3,-5) and C(-6,1)
4. Find the equation of the line passing through the point A(5,5) and perpendicular to the line passing through the points B(1,-2) and C(-5,2)
10. Find the equation of a line passing through point of intersection of Line-1, Line-2 and parallel or perpendicular to Line-3
1. Find the equation of the line passing through the point of intersection of the lines x-y=1 and 2x-3y+1=0 and parallel to the line 3x+4y=12
2. Find the equation of the line passing through the point of intersection of the lines 2x+3y=1 and 3x+4y=6 and perpendicular to the line 5x-2y=7
11. For two lines, find Angle, intersection point and determine if parallel or perpendicular lines
1. Find the acute angle between the lines x+3y+1=0 and 2x-y+4=0
2. Find the point of intersection of the lines x+y=1 and x-y=1
3. Determine if two lines are parallel 5x+2y-11=0 and 3x-y+11=0
4. Determine if two lines are perpendicular 5x+2y-11=0 and 3x-y+11=0
12. Reflection of points about x-axis, y-axis, origin
1. Find Reflection of points A(0,0),B(2,2),C(0,4),D(-2,2) and Reflection about x-axis, y-axis and origin
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