Assertion:  If the ratio in which \(C\) divides \(AB\) is \(k:1\) then the coordinate of the point \(C\) will be \((\frac{x_1+kx_2}{k+1},\frac{y_1+ky_2}{k+1})\)
 
Reason: The mid-point of a line segment divides the line segment in the ratio \(1:2\)