Statement-I `(S_1)`: If `A(x_1, y_1), B(x_2, y_2), C(x_3, y_3)` are non-collinear points. Then, every point (x, y) in the plane of `triangleABC`, can be expressed in the form `((kx_1+lx_2+mx_3)/(k+l+m), (ky_1+ly_2+my_3)/(k+l+m))`
Statement-II `(S_2)` The condition for coplanarity of four A(a), B(b), C(c), D(d) is that there exists scalars l, m, n, p not all zeros such that `la+mb+nc+pd=0` where `l+m+n+p=0`.

Options

A. Both Statement-I and Statement-II are correct and Statement-II is the correct explanation of Statement-I
B. Both Statement-I and Statement-II are correct but Statement-II is not the correct explanation of Statement-I
C. Statement-I is correct but Statement-II is incorrect
D. Statement-II is correct but Statement-I is incorrect

Answer

A