Question

Find the ratio in which the y axis divides the line segment joining the points - 4 - 6 and 1012 also find the coordinates of the point of division

Answer 1

Answer:

Required ratio is 2:5

Point of division is (0, -6/7)

Step-by-step explanation:

In the attachments I have answered this problem.

I have applied section formula to solve this problem.

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Answer 2

Answer: The ratio is 2:5and the co-ordinates of the point of division are  ( 0,-6/7).

Step-by-step explanation: Let, the coordinates of the point of division be s(0,b) and let m:n be the ratio in which the point s divides the joining of the points P(-4,-6) and Q(10,12).

The x-coordinate of point s=0,i.e.,

$\dfrac{m\times 10+n\times (-4)}{m+n}=0\\\\\Rightarrow 10m-4n=0\\\Rightarrow 10m=4n\\\Rightarrow \dfrac{m}{n}=\dfrac{4}{10}\\\\\Rightarrow m:n=2:5.$

And, the y-coordinate of point s is

$b=\dfrac{2\times 12+5\times (-6)}{2+5}=\dfrac{24-30}{7}=\dfrac{-6}{7}.$

Thus, the required ration is 2:5 and the point of division is (0,-6/7).