Match List-I with List-II Match-I Match-II (A) $x=2at^2,y=at^4$ (I) Inverse trignometric function (C) $f(x)=(2x=3)^3$ (II) Implicit function (C) $xy +y^2=tan(x+y)$ (III) Parametric function (D) $y=tan^{-1}\left(\frac{3x-x^3}{1-3x^2}\right), -\frac{1}{\sqrt{3}}< x < \frac{1}{\sqrt{3}}$ (IV) Composite function Choose the correct answer from the options given below :

(A)-(III), (B)-(IV), (C)-(II), (D)-(I) (A)-(IV), (B)-(I), (C)-(II), (D)-(III) (A)-(II), (B)-(I), (C)-(III), (D)-(IV) (A)-(I), (B)-(III), (C)-(IV), (D)-(II)

(A)-(III), (B)-(IV), (C)-(II), (D)-(I)