Question

The line segment joining points-3,-4and1,-2 is divided by y-axis inthe ratio​

Answer 1

Answer:

Answer: The required ratio is 3 : 1.

Step-by-step explanation: We are given to find the ratio in which the line segment joining the points (-3, -4) and (1, -2) is divided by y axis.

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

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

m+n

mc+na

,

m+n

md+nb

).

Therefore, according to the given information, we have

\begin{gathered}\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.\end{gathered}

m+n

1×m+(−3)×n

=0

⇒m−3n=0

⇒m=3n

⇒

n

m

=

1

3

⇒m:n=3:1.

Thus, the required ratio is 3 : 1.

Answer 2

Answer:

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