Consider the following statements for the curve f(x) = x|x| and find that which of the following(s) are/is correct : (A) f(x) = x|x| is differentiable at x = 0. (B) f(x) = x|x| is continuous at x = 0 but not differentiable at x = 0. (C) f(x) = x|x| has point of infection at x = 0. (D) f(x) = x|x| is symmetrical about y-axis. Choose the correct answer from the options given below :

Question

Option 1: (A) and (C) only

Option 2: (B) and (D) only

Option 3: (B) only

Option 4: (A), (B) and (D) only

AfterBoards · Accepted Answer

The answer is '(A) and (C) only'. View full solution:

List-I	List-II
(A) $\sin x$ is continuous on:	(I) $\mathbb{R} - \{0\}$
(B) $\tan x$ is continuous on:	(II) $\mathbb{R}$
(C) $\cot x$ is continuous on:	(III) $\mathbb{R} - \{n\pi: n \in \mathbb{Z}\}$
(D) $x^{-n}, n \in \mathbb{N}$ is continuous on:	(IV) $\mathbb{R} - \left\{(2n + 1)\frac{\pi}{2}: n \in \mathbb{Z}\right\}$

CUET Mathematics 2022 7 Aug Shift 2 PYQs

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