Coordinate geometry (ସ୍ଥାନାଙ୍କ ଜ୍ୟାମିତି) 10th class mathematics | Division Formula | Section formula

#class10mathematics #coordinategeometry #revolutioneducation #basic_concepts In coordinate geometry, Section formula is used to find the ratio in which a line segment is divided by a point internally or externally. It is used to find out the centroid, incenter and excenters of a triangle. In physics, it is used to find the center of mass of systems, equilibrium points, etc. Definition of Section Formula in Coordinate Geometry When a point on a line segment divides it into two segments, the formula used to determine the coordinates of that point is known as the section formula. Let us say, we have a point P(x,y) that divides the line segment with marked points as A (x1,y1) and B(x2,y2). To find the coordinates, we use the section formula, which is mathematically expressed as: P(x, y) = {[(mx2+nx1)/(m+n)],[(my2+ny1)/(m+n)]}