Question

In what ratio the segment joining the points (3,4)and(2,-3)is divided by the Y-axis

Answer 1

Step-by-step explanation:

Let m : n be the required ratio.

The point that divides the line segment joining the points (-3, -4) and (1, -2) is written as (0, t).

We know that

the co-ordinates of he point that divides the line joining the points (a, b) and (c, d) in the ratio m : n are given by

\left(\dfrac{mc+na}{m+n},\dfrac{md+nb}{m+n}\right).

Therefore, according to the given information, we have

\dfrac{1\times m+(-3)\times n}{m+n}=0\\\\\Rightarrow m-3n=0\\\\\Rightarrow m=3n\\\\\Rightarrow \dfrac{m}{n}=\dfrac{3}{1}\\\\\Rightarrow m:n=3:1.

Thus, the required ratio is 3 : 1.

hope u UNDERSTAND