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
(x-3)2/16-(y+2)2/9=1
(x+2)2/25-(y-2)2/9=1
(x-3)2/16-(y-1)2/11=1
(x-3)2/16-(y-3)2/19=1
If ∫sin-1[2x/(1+x2)]dx=f(x)-log(1+x2)+c then f(x) is equal to
2x tan -1 x
-2x tan -1 x
x tan -1 x
-x tan -1 x
If (dy/dx)=[y+xtan(y/x)]/x then sin(y/x) is equal to
cx2
cx
cx3
cx4
If x√(1+y)+y√(1+x)=0 then dy/dx is equal to
1/(1+x)2
-[1/(1+x)2]
1/1+x2
1/1-x2
If x2y-x3(dy/dx)=y4cosx then x3y is equal to
sin x
2 sin x + c
-3 sin x + c
3 cos x +c