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Home Questions PQ7NW8993U
Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Continuity and Differentiability

Question:

Match List-I with List-II

Where $R$ is set of real numbers

List-I

List-II

(A) $\sin x$ is continuous on:

(I) $R-\{0\}$

(B) $\tan x$ is continuous on:

(II) $R$

(C) $\cot x$ is continuous on:

(III) $R-\{n\pi:n ∈ Z\}$

(D) $x^{-n},n ∈N$ is continuous on:

(IV) $R-\left\{(2n+1)\frac{\pi}{2}:n ∈Z\right\}$

Choose the correct answer from the options given below:

Options:

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

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

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

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

Correct Answer:

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

Explanation:

The correct answer is Option (2) → (A)-(II), (B)-(IV), (C)-(III), (D)-(I)

List-I

List-II

(A) $\sin x$ is continuous on:

(II) $R$

(B) $\tan x$ is continuous on:

(IV) $R-\left\{(2n+1)\frac{\pi}{2}:n ∈Z\right\}$

(C) $\cot x$ is continuous on:

(III) $R-\{n\pi:n ∈ Z\}$

(D) $x^{-n},n ∈N$ is continuous on:

(I) $R-\{0\}$

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