Given equation of the plane is $5x+2y -3z=17.$ Then, A. point (2, 2, -1) lies on the plane B. The direction cosines of normal to plane are (2, 2,-1) C. Coordinates of foot of perpendicular from origin are (5, 2, -3) D. The plane does not pass through the origin Choose the correct answer from the options given below :

A and B only B and C only C and D only A and D only

A and D only