Points A(4, 10) and B(10, 4) mark the ends of a walking trail

MATHEMATICS · Subjective · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

Points A(4, 10) and B(10, 4) mark the ends of a walking trail. A straight road represented by the line

x = y

intersects the trail. In what ratio (m : n) does this road divide the segment AB internally? Take m to be the part nearer to A.