Angle between two unit-magnitude coplanar vectors P(0.866,0.500,0) and Q(0.259,0.966,0) will be

1.  00

2.  300

3.  450

4.  600

4

450

Explanation :
No Explanation available for this question

Volume of an object expressed in spherical coordinates is given byValue of the integral is

1.  π/3

2.  π/6

3.  2 π/3

4.  π/4

4

π/3

Explanation :
No Explanation available for this question

The function,y=x2+(250/x)x=5 attains

1.  Maximum

2.  Minimum

3.  Neither

4.  1

4

Minimum

Explanation :
No Explanation available for this question

Volume generated by revolving the area bounded by the parabola y2=8x and the line x=2 about y-axis is

1.  128π/5

2.  5/128π

3.  127/5π

4.  None of these

4

128π/5

Explanation :
No Explanation available for this question

The integration of ∫log x.dx has the value

1.  (x log x-1)

2.  Log x-x

3.  X(log x-1)

4.  None of these

4

X(log x-1)

Explanation :
No Explanation available for this question

The derivastion of f(x,y) at point (1,2) in the direction of vector i+j is 2√2 and in the direction of the vector -2j is -3.Then derivative of f(x,y) in the direction –i-2j is

1.  2√2+3/2

2.  -7/√5

3.  -2√2-3/2

4.  1/√5

4

-7/√5

Explanation :
No Explanation available for this question

Area bounded by the parabola 2y=x2 and the line x=y-4 is equal to

1.  6

2.  18

3.  ∞

4.  None of these

4

18

Explanation :
No Explanation available for this question

If a function is continuous at a point,then its first derivative

1.  May or may not exist

2.  Exists always

3.  Will not exist

4.  Has a unique value

4

Has a unique value

Explanation :
No Explanation available for this question

The integral

1.  Diverges

2.  Converges to 1/3

3.  Converges to -1/a3

4.  Converges to 0

4

Diverges

Explanation :
No Explanation available for this question

1.  1

2.  exp[-a4]

3.  ∞

4.  Zero

4