If O be the origin and the coordinates of P be (1, 2, – 3), then find the equation of the plane passing through P and perpendicular to OP.

Find the equations of the line passing through the point (1,-1,2) and perpendicular to the plane 2x-y+3z=5.

Find the equation of the plane passing through the point (1,1,0),(1,2,1) and (2,3,2).

Find the equation the plane passing through (1,1,0) , (2,3,5) and (4,5,9)

Find the equation of the plane passing through the points (1,1,0),(1,3,0),(2,5,1)

Find the equation of the plane passing through the points (0,-1,0),(1,1,1) and (3,3,0).

A circle of constant radius a passes through the origin O and cuts the axes of coordinates at points P and Q . Then the equation of the locus of the foot of perpendicular from O to P Q is

Find the equation of the plane passing through the points (1,2,-1),(2,4,-3),(4,-2,1)

Find the equation of the plane passing through origin and parallel to the plane x+3y-2z+7=0 .

Find the equation of the plane passing through the point (3,-3, 1) and perpendicular to the line joining the points (3, 4, - 1) and (2, - 1,5). Also find the coordinates of the foot of the perpendicular, the equation of the perpendicular line and the length of perpendicular drawn from the origin to the plane.

Let P be the image of the point (3,1,7) with respect to the plane x-y+z=3. then the equation o the plane passing through P and containing the straight line (x)/(1) =(y)/(2) =(z)/(1)