1.  0

2.  1/2

3.  -1/2

4.  3/2

4

3/2

Explanation :
No Explanation available for this question

# If y = cot-1[tan ((π/2)-x)], then dy/dx is equal to

1.  x

2.  1

3.  1/(1+x2)

4.  -1/(1+x2)

4

1

Explanation :
No Explanation available for this question

# In a cube the percentage increases in side is1.The percentage increases in the volume of the cube is

1.  1/3

2.  1/2

3.  2

4.  3

4

3

Explanation :
No Explanation available for this question

# A cylindrical vessel of radius 0.5mts. is filled with oil at the rate of 0.25 π.c mts./minute. The rate, at which the surface of oil is increasing is

1.  1mts./min

2.  2 mts./min

3.  5 mts./min

4.  1.25 mts./min

4

1mts./min

Explanation :
No Explanation available for this question

# The equation of the tangent to the curve y = x3-2x+7 at the point (1,6) is

1.  y=x+5

2.  x+y=7

3.  2x+y=8

4.  x+2y=13

4

y=x+5

Explanation :
No Explanation available for this question

# If the acute angle between the curves xy=2 and y2=4x is θ, then tan θ is equal to

1.  2

2.  3

3.  2/3

4.  1/3

4

3

Explanation :
No Explanation available for this question

# If x + y =12,then the minimum value of  x2+y2 is

1.  72

2.  144

3.  48

4.  36

4

72

Explanation :
No Explanation available for this question

# If y = sin(7sin-1x),then (1-x2)y2-xy1 is equal to

1.  -49y

2.  -7y

3.  49y

4.  7y

4

-49y

Explanation :
No Explanation available for this question

# If z2 = (x1/2 + y1/2)/(x1/3 + y1/3), then x(∂z/∂x) + y(∂z/∂y) is :

1.  2/6

2.  (2/3)z

3.  (2/5)z

4.  z/12

4

z/12

Explanation :
No Explanation available for this question

1.  u

2.  v

3.  -2u

4.  u+v

4