If the line x-1 2 = y+1 3 = z-2 4 meets the plane x+2 y+3 z=15 at the point P , then the distance of P from the origin is

Step-by-step solution

Let x-1 2 = y+1 3 = z-2 4 = k (say) Let P be the any point on the above line. P =(2 k +1,3 k -1,4 k +2) The point P lies on the plane array ll & 2 k +1+2(3 k -1)+3(4 k +2)=15 & 2 k +1+6 k -2+12 k +6=15 & 20 k =10 & k = 1 2 & P = (2, 1 2 , 4 ) array Distance of P from origin is 2^2+ ( 1 2 )^2+4^2 = 81 4 = 9 2