Class CBSE Class 12 Mathematics Relations and Functions Q #977
COMPETENCY BASED
APPLY
1 Marks 2025 AISSCE(Board Exam) ASSERTION REASON
Assertion: Assertion (A): Let $f(x) = e^{x}$ and $g(x) = \log x$. Then $(f + g)x = e^{x} + \log x$ where domain of $(f + g)$ is $\mathbb{R}$.
Reason: Reason (R): $\text{Dom}(f + g) = \text{Dom}(f) \cap \text{Dom}(g)$.
(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
Correct Answer: D

More from this Chapter

MCQ_SINGLE
If \(f:N\rightarrow W\) is defined as \(f(n)=\begin{cases}\frac{n}{2},&if~n~is~even\\ 0,&if~n~is~odd\end{cases}\), then f is:
MCQ_SINGLE
A function \(f:\mathbb{R}\rightarrow\mathbb{R}\) defined as \(f(x)=x^{2}-4x+5\) is:
MCQ_SINGLE
For real x, let \(f(x)=x^{3}+5x+1\). Then:
MCQ_SINGLE
Let A={3,5}. Then number of reflexive relations on A is
LA
34. (a) If N denotes the set of all natural numbers and R is the relation on $N \times N$ defined by $(a, b) R (c, d)$, if $ad(b+c)=bc(a+d)$. Show that R is an equivalence relation.
View All Questions