The condition that the line `(x-x_1)/l=(y-y_1)/m=(z-z_1)/n` lies in the plane `ax+by+cz+d=0` is

The line (x-x_1)/a=(y-y_1)/b=(z-z_1)/c is parallel to the plane Ax+By+Cz+D =0 if

The line (x-x_1)/a=(y-y_1)/b=(z-z_1)/c is at right angles to the plane Ax+By+Cz+D=0 if

The line (x-x_1)/(a_1)=(y-y_1)/(b_1)=(z-z_1)/(c_1) is parallel to the plane ax+by+cz+d=0 if

Proved that the line (x-1)/2=(y+2)/(-3)=(z-3)/1 lies on the plane 7x+5y+z=0

Under which conditions the straight line (x-a)/l = (y-b)/m = (z-c)/n intersects the plane Ax + By + Cz = 0 at a point other than (a,b,c)?

If the straight line (x-x_0)/l=(y-y_0)/m=(z-z_0)/n is in the plane ax+by+c+d=0 then which one of the following is correct?

The equation of the plane containing the line (x-x_1)/l =(y-y_1)/m =(z-z_1)/n is : a(x-x_1)+b(y-y_1)+c(z-z_1)=0 , where :