# Maximum volume of a cylinder in a cone with semi vertical angle ‘α’ and height‘b’ is

1.  (4/27)πb3 tan2 α

2.  (4/27)πb3 tan α

3.  (4/27)πb tan3 α

4.   None of these

4
Correct Answer :

(4/27)πb3 tan2 α

Explanation :
No Explanation available for this question

# The maximum point on the curve x=exy is

1.  (1,e)

2.  (1,e-1)

3.  (e,1)

4.   (e-1,1)

4
Correct Answer :

(1,e-1)

Explanation :
No Explanation available for this question

# The value of function f(x)=x+1/x at the points of minimum and maximum are respectively

1.  -2 and 2

2.  2 and -2

3.  -1 and 1

4.  1 and -1

4
Correct Answer :

1 and -1

Explanation :
No Explanation available for this question

# The seriesis

1.  Convergent

2.  Conditionally convergent

3.  Absolutely convergent

4.  Oscillatory

4
Correct Answer :

Convergent

Explanation :
No Explanation available for this question

# The series 1+2x+3x2+4x3+… where 0

1.  Convergent

2.  Divergent

3.  Oscillatory

4.  Semi-convergent

4
Correct Answer :

Convergent

Explanation :
No Explanation available for this question

# For geometric series 1-k+k2-k3+… which of the following is false

1.  The series is convergent if k=-1/3

2.  The series is divergent if k=-3

3.  The series is oscillatory if k=-1

4.  The series is divergent if k=-2

4
Correct Answer :

The series is oscillatory if k=-1

Explanation :
No Explanation available for this question

# The seriesis

1.  Convergent

2.  Divergent

3.  Oscillatory

4.  None of these

4
Correct Answer :

Convergent

Explanation :
No Explanation available for this question

# The seriesis

1.  Convergent if p≥2 and divergent if p

2.  Convergent if p>2 and divergent if p≤2

3.  Convergent if p≤2 and divergent if p>2

4.  Convergent if p

4
Correct Answer :

Convergent if p>2 and divergent if p≤2

Explanation :
No Explanation available for this question

# The seriesis

1.  Convergent if x

2.  Convergent if x ≤1 and divergent if x>1

3.  Convergent if x >1 and divergent if x≤1

4.  Convergent if x ≥1 and divergent if x

4
Correct Answer :

Convergent if x <1 and divergent if x≥1

Explanation :
No Explanation available for this question

# The seriesis

1.  Convergent if x2 >1 and divergent if x2≤1

2.  Convergent if x2 ≥1 and divergent if x2

3.  Convergent if x2

4.  Convergent if x2 ≤1 and divergent if x2>1

4
Correct Answer :

Convergent if x2 <1 and divergent if x2≥1

Explanation :
No Explanation available for this question

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