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Maths Continuity and Differentiability Class 12 MCQ and Assertion Questions

Short Quiz · Class 12 · Maths · CBSE

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Chapter 5 Class 12 Continuity and Differentiability | 5 questions | about 4 minutes

Practise Continuity and Differentiability Class 12 with Teachoo's Short Quiz (Class 12 · Maths · CBSE). Practise these questions in a free interactive quiz with answer feedback.

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Question 1 of 5
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Question 1 of 5
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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 2 of 5
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Differential coefficient of \(\sec \left(\tan ^{-1} x\right)\) w.r.t. \(x\) is
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Question 3 of 5
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If \(\mathrm{y}=\sqrt{\sin x+y}\), then \(\frac{d y}{d x}\) is equal to
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Question 4 of 5
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 5
NCERT Exemplar
The number of points at which the function \(\mathrm{f}(\mathrm{x})=\frac{1}{x-[x]}\) is not continuous is
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