Class CBSE Class 12 Mathematics Continuity and Differentiability Q #974
COMPETENCY BASED
REMEMBER
1 Marks 2025 AISSCE(Board Exam) ASSERTION REASON
Assertion: Assertion (A): $f(x) = \begin{cases} x\sin\frac{1}{x}, & x\neq 0 \\ 0, & x=0 \end{cases}$ is continuous at $x=0$.
Reason: Reason (R): When $x \to 0$, $\sin\frac{1}{x}$ is a finite value between $-1$ and $1$.
(A) Both A and R are true and R is the correct explanation of A.
(B) Both A and R are true but R is NOT the correct explanation of A.
(C) A is true but R is false.
(D) A is false but R is true.
Prev Finish

More from this Chapter

MCQ_SINGLE
7. If $y=\sin^{2}(x^{3})$, then $\frac{dy}{dx}$ is equal to :
MCQ_SINGLE
For what value of k, the function given below is continuous at \(x=0\) ? \(f(x)=\begin{cases}\frac{\sqrt{4+x}-2}{x},&x\ne0\\ k,&x=0\end{cases}\)
VSA
If $y=x^{\frac{1}{x}}$ then find $\frac{dy}{dx}$ at $x=1$.
MCQ_SINGLE
The value of k for which function $f(x)=\begin{cases}x^{2},&x\ge0\\ kx,&x
VSA
22. If $(x^{2}+y^{2})^{2}=xy$, then find $\frac{dy}{dx}$
View All Questions