# If x2-xy+y2=1 and y’’(1)=

1.   -6

2.  2/3

3.  3/2

4.  -2/3

4

-6

Explanation :
No Explanation available for this question

# If x3-2x2y2+5x+y-5=0 and y(1)=1 then y’’(1)=

1.

2.

3.  22/7

4.  4. 8

4

Explanation :
No Explanation available for this question

# If x= acos3θ, y= asin3θ then d2y/dx2 at θ=π/4 is

1.  3a/4√2

2.  1/12√2a

3.  4√2/3a

4.  -4√2/3a

4

4√2/3a

Explanation :
No Explanation available for this question

# I: If |x|

1.  Only I is true

2.  Only II is true

3.  Both I and II are true

4.  Neither I nor II true

4

Only I is true

Explanation :
No Explanation available for this question

# I: If x=sin θ +θ  cos θ, y= cos θ-θ sin θ, then (dy/dx)θ=π/2=1 II: If x= sec θ-

1.  Only I is true

2.  Only II is true

3.  Both I and II are true

4.  Neither I nor II true

4

Only II is true

Explanation :
No Explanation available for this question

# I:If x= θ-1/θ, y= θ+1/θ then dy/dx=x/y II:If x= 3 cos θ-2 cos3θ, y= 3sinθ-2 sin3&t

1.  Only I is true

2.  Only II is true

3.  Both I and II are true

4.  Neither I nor II true

4

Both I and II are true

Explanation :
No Explanation available for this question

# I: d/dx{Sin-1(3x/2-x3/2)}=3/√4-x2 II: d/dx{Cos-1((4x3/27)-x}=3/√(4-x2

1.  Only I is true

2.  Only II is true

3.  Both I and II are true

4.   Neither I nor II true

4

Only I is true

Explanation :
No Explanation available for this question

# If I:then dy/dx=1/2y-1 If

1.  Only I is true

2.  Only II is true

3.  Both I and II are true

4.  Neither I nor II true

4

Both I and II are true

Explanation :
No Explanation available for this question

# I:If xy=(x+y)n and dy/dx=y/xthen n=2 II: If x2-y2=a(x-y) and x≠y, then dy/dx=-1

1.  Only I is true

2.  Only II is true

3.  Both I and II are true

4.  Neither I nor II true

4

Both I and II are true

Explanation :
No Explanation available for this question

# Observe the following statements I. f(x)= ax41+bx-40=>f’’(x)/f(X)= 1640x-2

1.   I is true but II is false

2.  Both I and II are true

3.  Neither I nor II true

4.  I is false but II is true

4