# The equation of the sphere with centre at (-1, 2, 3) and which passes through (1, -1, 2) is:

1.  x2 + y2 + z2 + 2x – 4y – 6z – 14=0

2.  x2 + y2 + z2 – 2x + 4y + 6z – 14=0

3.  x2 + y2 + z2 + 2x – 4y + 6z=0

4.  x2 + y2 + z2 + 2x – 4y – 6z =0

4

x2 + y2 + z2 + 2x – 4y – 6z =0

Explanation :
No Explanation available for this question

# If the sum of the coefficients in the expansion of (x + y)n is 4096, then the greatest coefficient is

1.  14C7

2.  12C6

3.  12C5

4.  11C5

4

12C6

Explanation :
No Explanation available for this question

# The equation of the sphere concentric with the sphere x2 + y2 + z2 – 2x – 4y – 6z – 11=0 and radius double of it is:

1.  x2 + y2 + z2 – 2x – 4y – 6z – 22=0

2.  x2 + y2 + z2 + 2x + 4y + 6z +22=0

3.  x2 + y2 + z2 + 2x + 4y+ 6z – 86=0

4.  x2 + y2 + z2 – 2x – 4y – 6z =0

4

x2 + y2 + z2 – 2x – 4y – 6z =0

Explanation :
No Explanation available for this question

# If

1.  31

2.  32

3.  63

4.  64

4

31

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 – 2x – 4y – 6z + 50=0

4

x2 + y2 + z2 – 6x – 8y – 10z + 25=0

Explanation :
No Explanation available for this question

# The equation of the sphere one of whose diameter has end points (1, 2, 4) and (3, 0, 2)

1.  x2 + y2 + z2 + 4x + 6y+ 8z + 11=0

2.  x2 + y2 + z2 – 4x – 4y – 8z – 11 =0

3.  x2 + y2 + z2 – 4x – 2y – 6z + 11=0

4.  x2 + y2 + z2 – 4x – 2y +6z – 11=0

4

x2 + y2 + z2 – 4x – 2y – 6z + 11=0

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

# If n ≥ 2 then(a – 1).C1 – (a – 2).C2 + (a – 3).C3 – ……(-1)n-1

1.  a + 1

2.  a

3.  a - 1

4.  0

4

a

Explanation :
No Explanation available for this question

# Sum of the coefficients in the expansion of (5x – 4y(n where n is positive integer is

1.  5n

2.  (-1)n

3.  9n

4.  1

4

1

Explanation :
No Explanation available for this question

1.  4n

2.  3n

3.  2n

4.  2

4