If x√(1+y)+y√(1+x)=0 then dy/dx is equal to
A. 1/(1+x)2
B. -[1/(1+x)2]
C. 1/1+x2
D. 1/1-x2
If ∫sin-1[2x/(1+x2)]dx=f(x)-log(1+x2)+c then f(x) is equal to
A. 2x tan -1 x
B. -2x tan -1 x
C. x tan -1 x
D. -x tan -1 x
If x2y-x3(dy/dx)=y4cosx then x3y is equal to
A. sin x
B. 2 sin x + c
C. -3 sin x + c
D. 3 cos x +c
The equation of the hyperbola with its transverse axis is parallel to x-axis, and its centre is (-2,1), the length of transverse axis is 10 and eccentricity 6/5 is
A. (x-3)2/16-(y+2)2/9=1
B. (x+2)2/25-(y-2)2/9=1
C. (x-3)2/16-(y-1)2/11=1
D. (x-3)2/16-(y-3)2/19=1