# The minimum value of the quadratic expression x2+2bx+c is

1.  c2-b

2.  c2-b/2

3.  c-b2/2

4.  c-b2

4

c-b2

Explanation :
No Explanation available for this question

# The plane x+y+z+k=0 touches the sphere x2+y2+z2=k2 for k≠0

1.  All values of k

2.  Only one value of k

3.  Finite values of k

4.  No value of k

4

No value of k

Explanation :
No Explanation available for this question

# Number of spheres drawn through the points(0,0,0),(1,0,0),(2,3,-9),(-3,0,0) are

1.  0

2.  1

3.  2

4.  infinite

4

0

Explanation :
No Explanation available for this question

# The equation of the sphere having centre at the origin and cutting the coordinate axes at a distance 4 from the origin is

1.  x2+y2+z2=16

2.  x2+y2+z2=8

3.  x2+y2+z2=4

4.  x2+y2+z2=32

4

x2+y2+z2=16

Explanation :
No Explanation available for this question

# The equation of the sphere having centre at (3,4,5) and touching the xy-plane is

1.  x2+y2+z2-6x-8y-10z+25=0

2.  x2+y2+z2-6x-8y-10z+34=0

3.  x2+y2+z2-6x-8y-10z+41=0

4.  x2+y2+z2-6x-8y-10z+50=0

4

x2+y2+z2-6x-8y-10z+25=0

Explanation :
No Explanation available for this question

# The radius of the sphere x2+y2+z2-2x+4y-6z+7=0 is

1.  49

2.  5

3.  -7

4.  √7

4

√7

Explanation :
No Explanation available for this question

# The equation to the sphere concentric with the sphere x2+y2+z2-2x+3y-8z-1=0 and passing through the point (-1,2,0) is

1.  x2+y2+z2-2x+3y-8z-13=0

2.  x2+y2+z2-2x+3y-8z-9=0

3.  x2+y2+z2-2x+3y-8z+6=0

4.  x2+y2+z2-2x+3y-8z+4=0

4

x2+y2+z2-2x+3y-8z-13=0

Explanation :
No Explanation available for this question

# The length of the intercept made by the sphere x2+y2+z2-4x+6y+8z+4=0 on z axis is

1.  4√3

2.  2√13

3.  2√15

4.  2√18

4

4√3

Explanation :
No Explanation available for this question

# If(u,v,w) be the centre of the sphere which passes through the points (0,0,0),(0,2,0),(1,0,0) and (0,0,4) then u+v+w=

1.  3/2

2.  5/2

3.  7/2

4.  9/2

4

7/2

Explanation :
No Explanation available for this question

# Let S= x2+y2+z2-2x+3y-4z-5=0 be a sphere A(1,0,-1) and B(-1,0,-2) are two points.Then

1.  A lies inside and B lies outside of S=0

2.  A lies outside and B lies outside of S=0

3.  A and B lies inside S=0

4.  A lies on S=0 and B lies outside of S=0

4