The radius of the circle in which the sphere `x^(2)=y^(2)+z^(2)+2z-2y-4z-19=0` is cut by the plane `x+2y+2z+7=0` is

The radius of the circle in which the sphere x^(I2)+y^2+z^2+2z-2y-4z-19=0 is cut by the plane x+2y+2z+7=0 is a. 2 b. 3 c. 4 d. 1

Find the centre and radius of the sphere 2x^2+2y^2+2z^2-2x-4y+2z+3=0 .

The plane x+2y-z=4 cuts the sphere x^(2)+y^(2)+z^(2)-x+z-2=0 in a circle of radius

Show that the plane 2x-2y+z+12=0 touches the sphere x^2+y^2+z^2-2x-4y+2z-3=0.

The shortest distance from the plane 12 x+y+3z=327 to the sphere x^2+y^2+z^2+4x-2y-6z=155 is

The value of k for which the planes kx+4y+z=0, 4x+ky+2z=0 nd 2x+2y+z=0 intersect in a straighat line is

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.

The intersection of the spheres x^2+y^2+z^2+7x-2y-z=13a n dx^2+y^2+z^2-3x+3y+4z=8 is the same as the intersection of one of the spheres and the plane a. x-y-z=1 b. x-2y-z=1 c. x-y-2z=1 d. 2x-y-z=1

The intersection of the spheres x^2+y^2+z^2+7x-2y-z=13a n dx^2+y^2+z^2-3x+3y+4z=8 is the same as the intersection of one of the spheres and the plane a. x-y-z=1 b. x-2y-z=1 c. x-y-2z=1 d. 2x-y-z=1

The equation of the plane passing through the point (1,1,-1) and perpendicular to the planes x+2y+3z-7=0 and 2x-3y+4z=0 is (a) 17 x+2y-7z=26 (b) 17 x-2y+7z=26 (c) 17 x+2y-7z+26=0 (d) 17 x-2y+7z+26=0