Section formula for internal division for JEE

Formula

\(P\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)\)

Variables: Point \(P\) divides \(A(x_1,y_1)\), \(B(x_2,y_2)\) internally in ratio \(m:n=AP:PB\).

Conditions: \(m,n>0\).

Division of line segment, centroid, concurrency, locus.