The Sphere

• (1,2,3)

• (0,0,1)

• (0,0,0)

• (1,0,0)

Concentric spheres have same

Centre of the sphere x²+y²+z²-ax-by-cz=0 is

Radius of the sphere x²+y²+z²-6x+2y-4z+14=0 is

• 1

• 2

• 3

• 0

A plane section of a Sphere of radius a(>0) is a circle

• TRUE

• FALSE

Equation of a sphere through the circle S=0 and U=0 is

Length of a Tangent plane is

• √S₁

• √S₁₁

• √S₁₂

• √S₂₂

If the sphere is x²+y²+z²-3x+5y+7=0 then the point (3,1,-1) is

• Interior Point

• Exterior Point

• Belongs to the sphere

• None

Condition to two spheres S=0 and s¹=0 touch each other is

• c₁+c₂=r₁+r₂

• c₁c₂=r₁+r₂

• c₁+c₂=r₁-r₂

• c₁c₂=r₁r₂

Condition for a plane to intersect a sphere is

(r = Radius of the sphere and

d = Distance of a plane from center of sphere)

• r = d

• r ≤ d

• r > d

• r ≥ d