Match List-I with List-II $array|l|l| 0pt2.8exList-I & List-II \[1.2ex] 0pt2.8ex(A) f(x) = |x| & (I) Not differentiable at x=-2 only \[1.2ex] 0pt2.8ex(B) f(x) = |x+2| & (II) Not differentiable at x=0 only \[1.2ex] 0pt2.8ex(C) f(x) = |x^2-4| & (III) Not differentiable at x=2 only \[1.2ex] 0pt2.8ex(D) f(x) = |x-2| & (IV) Not differentiable at x=2,-2 only \[1.2ex] array$ Choose the correct answer from the options given below:

Question

Option 1: (A) - (I), (B) - (II), (C) - (III), (D) - (IV)

Option 2: (A) - (II), (B) - (I), (C) - (IV), (D) - (III)

Option 3: (A) - (II), (B) - (I), (C) - (III), (D) - (IV)

Option 4: (A) - (IV), (B) - (III), (C) - (II), (D) - (I)

AfterBoards · Accepted Answer

The answer is '(A) - (II), (B) - (I), (C) - (IV), (D) - (III)'. View full solution:

List-I (Parametric function)	List-II ( $\dfrac{dy}{dx}$ )
(A) $x=\log t, y=\dfrac{1}{t}$	(I) $-\dfrac{1}{4t^2}$
(B) $x=t^2, y=2t$	(II) $\dfrac{1}{t}$
(C) $x=4t, y=\dfrac{1}{t}$	(III) $t^2$
(D) $x=2t^2, y=t^4$	(IV) $-\dfrac{1}{t}$

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