Question

Find the ratio, in which Y-axis divides the line joining (1,-2) and (-3,-4). ​

Answer 1

Answer:

What is the ratio in which y-axis divides the line segment joining (-3, -4) and (1, -2)?

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Suppose A(-3,-4) and B(1,-2).

Let AB be cut by y-axis at P in the ratio p:1. Since P lies on Y-axis, P can be taken as (0, k).

Applying section formula namely

{(mx2 +nx1)/(m+n) , (my2+ny1)/(m+n)} we have (0, k) = {(p-3)/(p+1), ,(-2p-4)/(p+1)}

Equating the x-coordinates we get

0 = (p-3)/(p+1) => p = 3

Hence y-axis cuts AB in the ratio 3:1

I hope it will help you