Two planes `5x-2y+4z+1=0` and `2x+y-kz=7` are orthogonal then `k`

If the planes x+2y+kz=5 and 2x +y-2z=0 are at right angles, then the value of k is

Find k if the circles x^2+y^2-5x-14y-34=0 and x^2+y^2+2x+4y+k=0 are orthogonal to each other.

Prove that the line of section of the planes 5x+2y-4z+2=0\ a n d\ 2x+8y+2z-1=0 is parallel to the plane 4x-2y-5z-2=0.

A plane passes through (1,-2,1) and is perpendicualr to two planes 2x-2y+z=0" and "x-y+2z=4, then the distance of the plane from the point (1,2,2) is

If the planes 2x-y+lamdaz-5=0 an x+4y+2z-7=0 are perpendicular then lamda=

The lines x + y + z - 3 = 0 = 2x - y + 5z - 6 and x - y - z + 1 = 0 = 2x + 3y + 7z - k are coplanar then k equals

The equation of the plane passing through the intersection of the planes 2x-5y+z=3 and x+y+4z=5 and parallel to the plane x+3y+6z=1 is x+3y+6z=k , where k is

The sum of the intercepts of the plane on the coordinate axes, passing through the intersection of the planes 2x+3y+3z-5=0 and 2x-5y+3z+1=0 and parallel to the line (x-1)/(2)=(y-2)/(-5)=(z-3)/(-7) , is

The line x/k=y/2=z/-12 makes an isosceles triangle with the planes 2x+y+3z-1=0 and x+2y-3z-1=0 then the value of k is-

The equation of the plane through the point of intersection of plane x+2y+3z=4 and 2x+y-z-5 and perpendicular to the plane 5x+3y+6z+8=0 is (A) 7x-2y+3z+81=0 (B) 23x+14y-9z+48=0 (C) 51x+15y+50z+173=0 (D) none of these