Question

Find the ratio in which the line segment PQ, where P (-5, 2) and Q (2, 3), is divided by the y-axis​

Answer 1

Answer:

given points are (-5,2) and (2,3),. since x coordinates are respectively on -ve and +ve x axis, y axis will divide the line segment internally let in the ration m:n

coordinate of point dividing the given line segment in the ration m:nis

2m + (-5n). 3m + 2n

---------------, -----------------

m+n. m+n

2m - 5n. 3m + 2n

---------------, -----------------

m+n. m+n

but the point will lie in y axis for which x = 0

so

(2m - 5n)/(m+n) = 0

2m - 5n = 0

2m = 5n

m:n = 5:2