if P divides AB in K : 1 then what are the co-ordinates of P if the points of A and B are (x1, y1), (x2, y2).

Given:

m : n = K : 1

If the point P divides the line segment AB internally in the ratio K ∶ 1 

Concepts used: 

P(x, y) = \(\rm \left(\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n}\right)\)

Calculation:

In the above given formula:

m : n = K : 1

Replacing the given values in the above formula:

P(x, y) = \(\rm \left(\frac{kx_2+x_1}{k+1},\frac{ky_2+y_1}{k+1}\right)\)

The answer is None of these.