Coordinate Geometry - Printable Version +- MyElimu (https://myelimu.com) +-- Forum: GENERAL STUDENTS DISCUSSIONS (https://myelimu.com/forum-general-students-discussions) +--- Forum: MATHEMATICS (https://myelimu.com/forum-mathematics) +--- Thread: Coordinate Geometry (/thread-coordinate-geometry) |
Coordinate Geometry - MyElimu - 02-26-2014 1. Distance If A ( x1, y1) and B( x2, y2,), then distance d, from A to B = 2. Midpoint 3. Gradient/Slope 4. Equation of a line y = mx + cy - y1 = m(x - x1) 5. Parallel lines If two lines are parallel, then they have the same gradient. 6. Perpendicular lines If two lines are perpendicular, then the product of the gradients of the two lines is -1.or: perpendicular gradient = -1/m where m is the gradient of the line perpendicular to it. 7. Area of triangle The area of the triangle formed by the three points (x1, y1), (x2, y2), (x3, y3) 8. Shoelace formula
9. Circle The equation of a circle whose center is (h,k) and radius is a is given by the equation(x - h)2 + (y - k)2 = 0The equation of a circle whose centre is the origin and whose radius is a is given by the equation x2 + y2 = a2 The general equation of a circle is x2 + y2 + 2gx + 2fy + c = 0 where the centre is (-g,-f) and radius is The equation of a circle whose one diameter is the line segment joining the points (x1, y1), (x2, y2) is given by (x - x1)(x - x2) + (y - y1)(y - y2) = 0 Example 1. Find the equation of the line with gradient 2 passing through (1, 4). y - 4 = 2(x - 1) y - 4 = 2x - 2 y = 2x + 2 RE: Coordinate Geometry - Leonard Marco Msingi - 03-24-2014 l got u verry well.thanks RE: Coordinate Geometry - Damian - 04-22-2017 Thanks |