Teachoo MCQ Test

Chapter 5 Class 12 - Continuity and Differentiability - Short Quiz

Chapter 5 Class 12 Continuity and Differentiability | 5 questions

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
Time remaining 360
Question 1 of 5
Question 1 of 5
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The function \(\mathrm{f}(\mathrm{x})=\cot \mathrm{x}\) is discontinuous on the set
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Question 2 of 5
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The temperature of a cup of coffee, \(T(t)\), over time \(t\) is modeled by a function. Which of the following statements best describes why \(T(t)\) must be a continuous function?
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Question 3 of 5
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If \(f(x)=2 x\) and \(g(x)=\frac{x^2}{2}+1\), then which of the following can be a discontinuous function
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Question 4 of 5
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The number of points at which the function \(\mathrm{f}(\mathrm{x})=\frac{1}{x-[x]}\) is not continuous is
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Question 5 of 5
NCERT Exemplar
The function \(\mathrm{f}(\mathrm{x})=\left\{\begin{array}{ll}\frac{\sin x}{x}+\cos \mathrm{x} & , \text { if } \mathrm{x} \neq 0 \\ k & , \text { if } \mathrm{x}=0\end{array}\right.\) is continuous at \(\mathrm{x}=0\), then the value of k is
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