# where a,b,c are real and non-zero is equal to

1.  0

2.  (abc)1/3

3.  (abc)-1/3

4.  abc/3

4

(abc)<sup>1/3</sup>

Explanation :
No Explanation available for this question

1.  2

2.  -2

3.  0

4.  1

4

0

Explanation :
No Explanation available for this question

1.  1

2.  2

3.  -2

3

1

Explanation :
No Explanation available for this question

# If y = √(cos 2x) then y(d2y/dx2) + 2y2 =

1.  0

2.  -(dy/dx)2

3.  (dy/dx)2

4.  y(dy/dx)

4

-(dy/dx)<sup>2</sup>

Explanation :
No Explanation available for this question

# If tany = 2t/(1-t2),sinx = 2t/(1+t2),then dy/dx is equal to

1.  0

2.  cosx

3.  tanx

4.  1

4

1

Explanation :
No Explanation available for this question

# If the side of an equilateral triangle expands at the rate of 2 cm/sec,then the rate of increase of its area when the side is 10 cm is(in sq cm)

1.  10√2

2.  10√3

3.  5

4.  10

4

10&#8730;3

Explanation :
No Explanation available for this question

# If logy = tan-1x,then (1+x2)(d2y/dx2)+(2x-1)(dy/dx) is equal to

1.  0

2.  2 log y

3.  4

4.  1

4

0

Explanation :
No Explanation available for this question

# If x and y are strictly positive such that x+y =1,then the minimum value of  x log x + y log y is

1.  log 2

2.  - log 2

3.  2 log2

4.  0

4

- log 2

Explanation :
No Explanation available for this question

# If f(x) = then df/dx at x = π/2 is

1.  1

2.  2

3.  π/2

4.  8

4

2

Explanation :
No Explanation available for this question

# If at any point on the curve y = f(x) the length of the subnormal is constant,then the curve will be a

1.  circle

2.  ellipse

3.  parabola

4.  straight line

4