prove that the perpendicular drawn from the point (4,1) on the join of (2,-1) and (6,5) divides it in the - Maths - Straight Lines

Question

prove that the perpendicular drawn from the point (4,1) on the
join of (2,-1) and (6,5) divides it in the ratio 5:8

Tushar Kohli · Accepted Answer

let the required ratio be k : 1 Now, coordinates of point D =

Slope of line AD,

Slope of line BC,

Now,

Thus, required ratio =

: 1 = 5 : 8 Hence, perpendicular drawn from the point (4, 1) on the line joining (6, 5) and (2, â€“1) divides it in the ratio 5 : 8 internally

prove that the perpendicular drawn from the point (4,1) on the join of (2,-1) and (6,5) divides it in the ratio 5:8.