Teachoo MCQ Test

CBSE Past Year MCQ Quiz

Chapter 5 Class 12 Continuity and Differentiability | 3 questions

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
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Question 1 of 3
Question 1 of 3
CBSE Board Exam 2025
If \(f(x)=\left\{\begin{array}{cc}\frac{1-\sin ^3 x}{3 \cos ^2 x}, & \text { for } x \neq \frac{\pi}{2} \\ k, & \text { for } x=\frac{\pi}{2}\end{array}\right.\) is continuous at \(\mathrm{x}=\frac{\pi}{2}\), then the value of k is :
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Question 2 of 3
CBSE Board Exam 2026
If \(f(x)=\left\{\begin{array}{cc}\frac{x^2-4 x-5}{x+1}, & x \neq-1 \\ k, & x=-1\end{array}\right.\) is continuous at \(\mathrm{x}=-1\), then the value of k is :
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Question 3 of 3
CBSE Board Exam 2026
If \(\tan ^{-1} x=y\), then \(\frac{d y}{d x}\) is equal to :
Select one option. Answers are shown after the test.