Question

Find the ratio in which the y-axis divides the line segment joining the points (-4, -6) and (10, 12). Also

find the co-ordinates of the point of division​

Answer 1

Answer:

Given -

The y axis divides the line segment joining the points (-4, -6) and (10, 12).

To Find -

The co-ordinates of point of division.

Solution -

Let the ratio be k : 1. Then by which the section formula, the coordinates of the point which divides AB in the ratio k : 1 are

$( \frac{ - 2k + 3}{k + 1} \: \: \frac{k + 4}{k + 1} )$

This point lies on the y-axis, and on the y-axis, the abscissa is 0.

$\frac{ - 2k + 3}{k + 1} = 0 = > - 2k + 3 = 0 = > k = \frac{3}{2}$

Hence, the ratio is 3 : 2.

Substituting this value of k, we get the point of intersection as (0, 11/5).

Thank You

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