A beam is subjected to the uniform load $$W_c$$ per unit length and $$M_A, V_A$$ & $$V_B$$ are the reactions as shown in the figure. The expression for shear force V(x) and Bending moment M(x) is given by 

Correct option is A

​$$\text{Let:} \\\quad x = \text{distance from the left end (point A)} \\\quad V_A = \text{shear force at point A} \\\quad M_A = \text{moment at point A}{ \quad \textbf{Shear Force Expression } V(x):} \\\text{For a UDL, shear force linearly decreases along the length:} \\\boxed{V(x) = V_A + w_c x}\\{ \quad \textbf{Bending Moment Expression } M(x):} \\\text{The bending moment is obtained by integrating the shear force:} \\M(x) = M_A + \int_0^x V(x) \, dx = M_A + \int_0^x (V_A - w_c x) \, dx \\\Rightarrow M(x) = M_A + V_A x - \frac{w_c x^2}{2}$$​​