The planes 2x + 5y + 3z = 0, x-y+4z = 2 and7y_5z + 4 = 0(1) Meet in point(2) Meet in a line(3) Are equidistant from origin(4) None of these

The planes 2x+5y+3z=0,x-y+4z=2 and 7y_(-)5z+4=0(1) Meet in point (2) Meet in a line (3) Are equidistant from origin (4) None of these

The three planes x+y=0, y+z=0 and x+z=0 (A) meet in the unique point (B) meet in a line (C) meet taken two at a time i parallel lines (D) none of these

(i) Find the equation of the plane passing through the intersection of the planes : 2x - 7y + 4z = 3 and 3x - 5y + 4z + 11 = 0 and the point (-2, 1,3). (ii) Find the equation of plane through the intersection of planes : 3x - y + 2z - 4 = 0 and x + y + z - 2 = 0 and the point (2,2,1) .

(i) Find the equation of the plane passing through (1,-1,2) and perpendicular to the planes : 2 x + 3y - 2z = 5 , x + 2y - 3z = 8 . (ii) find the equation of the plane passing through the point (1,1,-1) and perpendicular to each of the planes : x + 2y + 3z - 7 = 0 and 2x - 3y + 4z = 0 . (iii) Find the equation of the plane passing through the point (-1,-1,2) and perpendicular to the planes : 3x + 2y - 3z = 1 and 5x - 4y + z = 5.

Show that the points (1,-1,3) and (3, 4, 3) are equidistant from the plane 5x +2y + -7z + 8 = 0.

Are the lines 3x-2y+z+5=0=2x+3y+4z-4 and (x+4)/3=(y+6)/5=(z-1)/(-2) coplanar. If yes find their point of intersection and equation of the plane which they lie.

The plane x + 3y + 13 = 0 passes through the line of intersection of the planes 2x - 8y + 4z = p and 3x - 5y + 4z + 10 = 0 If the plane is perpendicular to the plane , 3x - y - 2z - 4 = 0 then the value of p is equal to