# The sum of the coefficients in the expansion of (1 + x – 3x2)171

1.  2

2.  -1

3.  1

4.  0

4

-1

Explanation :
No Explanation available for this question

# The centre and radius of the sphere 2x2+ 2y2 + 2z2 – 2x +4y + 2z + 1=0

1.  (1/2 ,-1, -1/2),1

2.  (-1/2 ,-1, -1/2),2

3.  (1/2 ,-1, -1/2),2

4.  (-1/2 ,-1, -1/2),1

4

(1/2 ,-1, -1/2),1

Explanation :
No Explanation available for this question

# Coefficient of x4 in the expansion of 1/(x+1)(x+2) is

1.  21/32

2.  31/32

3.  11/32

4.  1/32

4

21/32

Explanation :
No Explanation available for this question

# The coefficient of x7 in (1 + 2x +3x2 +………∞)-3 is:

1.  3

2.  2

3.  1

4.  0

4

0

Explanation :
No Explanation available for this question

# If n is a positive integer, then the coefficient of xn in the expansion of (1 + x)n/(1-x) is

1.  n.2n

2.  2n-1

3.  2n

4.  (n +1)2n

4

2n

Explanation :
No Explanation available for this question

# If n is a positive integer, then the coefficient of xn in the expansion of (1 + 2x)n/(1-x) is:

1.  3n

2.  (n +1)3n

3.  (n – 1) 3n

4.  n. 3n

4

3n

Explanation :
No Explanation available for this question

# If x is very small, so that x4 and higher powers of x are neglected then √(x2+16)-√(x2+9)=

1.  1-(x2/48)

2.  1+(x2/48)

3.  1-(x2/24)

4.  1+(x2/24)

4

1-(x2/24)

Explanation :
No Explanation available for this question

# 1+n(2n/(1+n))+(n(n+1))/2! (2n/(1+n))2+..............∞=

1.  ((1+n)/(1+3n))n

2.  ((1+3n)/(1+n))n

3.  ((1+n)/(1-n))n

4.  ((1-n)/(1+n))n

4

((1+n)/(1-n))n

Explanation :
No Explanation available for this question

# The shortest distance from the plane 12x + 4y + 3z =327 to the sphere 2x2 + 2y2 + 2z2 + 4x - 2y – 6z =155 is

1.  11

2.  13

3.  39

4.  26

4

13

Explanation :
No Explanation available for this question

1.  √(2/3)

2.  21/3

3.  2√2

4.  √2

4