Question

Find the ratio in which y-axis divides the line segment joining the points A(5, -6), and B(-1, -4). Also find the coordinates of the point of division. (2016D)

Answer 1

Step-by-step explanation: let the coordinates of the point be (0,y) and the y axis divide the line segment in the ratio k:1

(0,y)={(-k+5)/k+1 , (-4k-6)/k+1}

=>0=-k+5/k+1

=>0=-k+5

=>k=5

y=-4k-6/k+1

=>y=-4(5)-6/5+1

=>y=-20-6/6

=>y=-26/6

thus the coordinates of the point is (0,-26/6)