Home
Class 12
MATHS
Find the centre and radius of the sphere...

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

Text Solution

Verified by Experts

The correct Answer is:
Centre `((1)/(2), -1, (-1)/(2))` Radius=0
Promotional Banner

Similar Questions

Explore conceptually related problems

In each the following find the centre and radius of circles. 2x^(2)+2y^(2)-x=0 .

In each the following find the centre and radius of circles. x^(2)+y^(2)-4x-8y-45=0 .

Find the centre and radius of sphere 2(x-5)(x+1)+2(y+5)(y-1)+2(z-2)(z+2)=7 .

Find the centre and radius of equation of circle in x^(2) + y^(2) - x + 2y - 3 = 0

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

If the plane 2ax-3ay+4az+6=0 passes through the mid point of the line joining the centre of the spheres x^(2)+y^(2)+z^(2)+6x-8y-2z=13 and x^(2)+y^(2)+z^(2)-10x+4y-2z=8 , then alpha equals

If (2, 3, 5) is one end of a diameter of the sphere x^(2)+y^(2)+z^(2)-6x-12y-2z+20=0 , then the coordinates of the other end of the diameter are

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

Find the equation the equation of sphere cocentric with sphere 2x^2+2y^2+2z^2-6x+2y-4z=1 and double its radius.

Find the value of lambda for which the plane x+y+z=sqrt(3)lambda touches the sphere x^2+y^2+z^2-2x-2y-2z=6.