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A plane 'p' passes through the point P(1,-2,3). If O is the origin and `OPbotp`, then equation of the plane p is………….. .

A plane passes through the points (2, 0, 0) (0, 3, 0) and (0, 0, 4). The equation of plane is …………..

Statement 1: A plane passes through the point A(2,1,-3)dot If distance of this plane from origin is maximum, then its equation is 2x+y-3z=14. Statement 2: If the plane passing through the point A( vec a) is at maximum distance from origin, then normal to the plane is vector vec adot

Find the equation of the plane passing through the point (2,3,1) having (5,3,2) as the direction ratio is of the normal to the plane.

A ray of light is sent through the point P(1,2,3) and is reflected on the XY plane. If the reflected ray passes through the point Q(3,2,5) then the equation of the reflected ray is

A plane passes through thee points P(4, 0, 0) and Q(0, 0, 4) and is parallel to the Y-axis. The distance of the plane from the origin is

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 equation of a plane passing through the points (2,1,0) ,(3,-2,-2) and (3,1,7)

Find the equation of plane passing through the points (-1,-1,3),(1,-2,7) and is perpendicular to the plane x+2y+z-9=0.

Find the equation of plane which passes through the point (1,-1,4) and is parallel to the plane 2x-3y+7z=11 .

Find the equation of the plane which passes through the point (1,2,3) and which is at the maximum distance from the point (-1,0,2)dot