Teachoo MCQ Test

NCERT Exemplar MCQ Quiz

Chapter 5 Class 12 Continuity and Differentiability | 7 questions

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
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Question 1 of 7
Question 1 of 7
NCERT Exemplar
For the function \(\mathrm{f}(\mathrm{x})=\mathrm{x}+\frac{1}{x}, \mathrm{x} \in[1,3]\), the value of c for mean value theorem is
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Question 2 of 7
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If \(y=\log \left(\frac{1-x^2}{1+x^2}\right)\), then \(\frac{d y}{d x}\) is equal to
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Question 3 of 7
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The value of k which makes the function defined by \(f(\mathrm{x})= \left\{\begin{array}{cl}\sin \frac{1}{x}, & \text { if } x \neq 0 \\ k, & \text { if } \mathrm{x}=0\end{array}\right.\), continuous at \(\mathrm{x}=0\) is
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Question 4 of 7
NCERT Exemplar
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 5 of 7
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The set of points where the functions \(f\) given by \(f(x)=|x-3| \cos x\) is differentiable is
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Question 6 of 7
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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 7 of 7
NCERT Exemplar
The function \(\mathrm{f}(\mathrm{x})=\cot \mathrm{x}\) is discontinuous on the set
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