If a plane intersects the co-ordinate axes at a,b,c respectively,write the equation of the plane.

If a plane meets the co-ordinates axex at A,B and C such that the centroid of the triangle is (1,2,4) , then the equations of the plane is : a)x+2y +4z=12 b)4x +2y +z=12 c)x+ 2y +4z =3 d)4x+ 2y +z=3

Suppose that a plane meets the co-ordinate axes at A, B, C such that the centroid of triangleABC is (3, 3, 3). If the intercepts made by the plane with the axes be a, b, c respectively, find the co-ordinates of A, B, C. Hence find the equation of the plane.

If for a plane the intercepts on the co-ordinates axes are 8,4,4 find length of the perpendicular from the origin to the plane

A plane makes intercepts a, b, c at A, B, C on the coordinate axes respectively. If the centroid of the Delta ABC is at (3, 2, 1), then the equation of the plane is a) x + 2y + 3z = 9 b) 2x - 3y - 6z = 18 c) 2x + 3y + 6z = 18 d) 2x + y + 6z = 18

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

Let a and b be the intercepts made by a line on the x-axes and y-axes respectively If the area of the triangle formed by the co-ordinate axes and the line is 6 sq. units and the lenght of the hypotenuse of this triangle is 5 units, derive two equations in a and b