Question

In what ratio is the segment joining (12,­1) and (­3,4) divided by the y­axis?

Answer 1

1:4 is the ratio divided by y Axis

Answer 2

Answer:

The ratio is 4:1.

Step-by-step explanation:

Given: The segment joining$A(x_1,y_1)=(12,1)$ and point $B(x_2,y_2)=(3,4)$  divided by the y­-axis.

To find : In what ratio is the segment joining?

Solution :

Let the line AB divides by Point C in a ration k:1

Then, Using section formula

$(x_3,y_3)=\frac{x_1n+x_2m}{m+n},\frac{y_1n+y_2m}{m+n}$

Divided by the y­-axis.

So, $x_3=\frac{x_1n+x_2m}{m+n}$

$0=\frac{(12)(1)-3k}{k+1}$

$12-3k=0$

$12=3k$

$k=\farc{12}{3}$

$k=4$

Which means y axis will divide the line segment AB in a ratio 4:1, externally.

Therefore, The ratio is 4:1.