The point which divides the line segment joining the points (7, -6) and (3, 4) in ratio 1 : 2 internally lies in the

To find the point that divides the line segment joining the points (7, -6) and (3, 4) in the ratio 1:2 internally, we can use the section formula.

Let's denote the coordinates of the point we are looking for as (x, y). According to the section formula, the x-coordinate of the point is given by:

x = (2 * x1 + 1 * x2) / (1 + 2)

where x1 and x2 are the x-coordinates of the given points. Substituting the values, we have:

x = (2 * 7 + 1 * 3) / 3 x = (14 + 3) / 3 x = 17 / 3

Similarly, the y-coordinate of the point is given by:

y = (2 * y1 + 1 * y2) / (1 + 2)

Substituting the values, we have:

y = (2 * -6 + 1 * 4) / 3 y = (-12 + 4) / 3 y = -8 / 3

Therefore, the point that divides the line segment joining the points (7, -6) and (3, 4) in the ratio 1:2 internally is (17/3, -8/3).