CBSE Past Year MCQ Quiz

Question 1 of 3

CBSE Board Exam 2026

If \(\sin ^{-1} x=y\), then \(\frac{d y}{d x}\) is :

A \(\cos ^{-1} x\) B \( \cos y\) C \(\frac{1}{1-x^2}\) D \(\sec \mathrm{y}\)

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Question 2 of 3

CBSE Board Exam 2024

The derivative of \(5^{\mathrm{x}}\) w.r.t. \(\mathrm{e}^{\mathrm{x}}\) is :

A \(\left(\frac{5}{\mathrm{e}}\right)^{\mathrm{x}} \frac{1}{\log 5}\) B \(\left(\frac{\mathrm{e}}{5}\right)^{\mathrm{x}} \frac{1}{\log 5}\) C \(\left(\frac{5}{\mathrm{e}}\right)^{\mathrm{x}} \log 5\) D \(\left(\frac{\mathrm{e}}{5}\right)^{\mathrm{x}} \log 5\)

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Question 3 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 :

A Any real value B 6 C \(\quad-1\) D -6

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CBSE Past Year MCQ Quiz