Question 16 - NCERT Exemplar - MCQs - Chapter 5 Class 12 Continuity and Differentiability (Term 1)

Last updated at Nov. 17, 2021 by Teachoo

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The function f (x) = cot x is discontinuous on the set

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Question 16
The function f (x) = cot x is discontinuous on the set
(A) {π₯=ππ:πβπ} (B) {π₯=2ππ:πβπ}
(C) {π₯=(ππ+π) π /π ;πβπ} (D) {π₯=ππ /π ;πβπ}
Let π(π₯) = cππ‘β‘π₯
π(π) = πππβ‘π/πππβ‘π
Here,
π(π₯) is defined for all real number except πππβ‘π = 0
i.e. for all x except x = ππ
Thus, cotβ‘π₯ is discontinuous on the set {π=ππ :πβπ}
So, the correct answer is (A)

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