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 Coordinate Geometry Calculators 1.1 Distance, Slope of two points 1. Find distance between the points A(7,8) and B(1,0) 2. Find slope of the line joining points A(7,8) and B(1,0) 1.2 Find the value of x or y 1. If distance between A(2,x) and B(8,5) is 6, find the value of x. 2. If slope of A(-2,x) and B(5,-7) is -1, find the value of x. 2. Points are Collinear or Triangle or Quadrilateral form Find A(0,0),B(2,2),C(0,4),D(-2,2) are vertices of a square or not 3. Find Ratio 1. Find ratio of line joining A(5,12) and B(2,9) is divided by a point P(3,10) 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 is the join of A(2,1) and B(7,6) divided by x-axis? Also find the coordinates of the point of intersection. 4. In what ratio does the point P(x,4) divide the join of A(2,1) and B(7,6)? Also find the value of x. 4. Find Mid point or Trisection point or Equi distance point on X-Y axis 1. Find the mid-point of line joining points A(-2,3) and B(5,4) 2. Find the trisection point of line joining points A(-2,3) and B(5,4) 3. Find the point on the x-axis which is equidistant from A(-2,3) and B(5,4) 4. Find the point on the y-axis which is equidistant from A(-2,3) and B(5,4) 5. For triangle, find Centroid point, Circum Center, Area 1. Find Centroid of a triangle whose vertices are A(4,1),B(-2,-3),C(6,7) 2. Find Circum center of triangle whose vertices are A(4,1),B(-2,-3),C(6,7) 3. Find Area of triangle whose vertices are A(4,1),B(-2,-3),C(6,7) 4. Find A(4,1),B(-2,-3),C(6,7) are collinear point or not (using area finding method) 6. Find Line using different methods (using slope, point, X-intercept, Y-intercept) 1. Find equation of a line having slope 1/2 and passing through point A(5,4) 2. Find equation of a line passing through points A(3,5) and B(6,4) 3. Find equation of a line having slope = 2 and intercept on y-axis = 3 4. Find equation of a line having X-intercept = 3 and Y-intercept = -5 7. Find Slope, X-intercept, Y-intercept of a line 1. Find Slope and Y-intercept of line 7y-4x+9=0 2. Find X-intercept and Y-intercept of line 7y-4x+9=0 3. Find Slope, X-intercept and Y-intercept of line 7y-4x+9=0 4. Find Slope, X-intercept and Y-intercept of the line joining the points A(3,-5) and B(-7,9) 8. Find Line passing through intersection point of two lines and slope or a point 1. Find equation of a line passing through intersection point of lines 2x+3y+4=0 and 3x+6y-8=0 and having slope = 2 2. Find equation of a line passing through intersection point of lines 4x+5y+7=0 and 3x-2y-12=0 and point A(3,1) 9. Find Line passing through a point and parallel or perpendicular to Line-2 1. Find equation of a line passing through point A(5,5) and parallel to the line 2x+3y+4=0 2. Find equation of a line passing through point A(5,5) and perpendicular to the line 2x+3y+4=0 10. Find Line passing through intersection point of Line-1, Line-2 and parallel or perpendicular to Line-3 1. Find equation of a line passing through intersection point of the lines 5x+2y-11=0 and 3x-y+11=0 and it is parallel to 4x-3y+2=0 2. Find equation of a line passing through intersection point of the lines 5x+2y-11=0 and 3x-y+11=0 and it is perpendicular to 4x-3y+2=0 11. Angle between two lines 1. Find angle between the lines 5x+2y-11=0 and 3x-y+11=0 12. Reflection of points about x-axis, y-axis, origin 1. Find Reflection of pointsA(0,0),B(2,2),C(0,4),D(-2,2) and Reflection about X,Y,O