If the function $f:\mathbb{N}\to\mathbb{N}$ is defined as $$f(x)=\begin{cases}{n-1} & {,\, If\, \, n\, \, is\, \, even} \\ {n+1} & {,If\, n\, is\, odd}\end{cases}$$ then(A) $f$ is injective(B) $f$ is into(C) $f$ is surjective(D) $f$ is invertibleChoose the correct answer from the options given below :
Previous 10 Questions — CUET UG 2024 Mathematics
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Match List-I with List-II :
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(A) Integrating factor of $x\,dy-(y+2x^…
Topic: CUET UG 2024 Mathematics
Match List-I with List-II :
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(A) $|x-1|+|x-2|$
(I) is differe…
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If $\vec a,\ \vec b$ and $\vec c$ are three vectors such that $\vec a+\vec b+\vec c=\vec 0$, where $\vec a$ and $\vec b…
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The value of the integral $\displaystyle \int_{\log_{e}2}^{\log_{e}3}\frac{e^{2x}-1}{e^{2x}+1},dx$ is:
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If $A$ is a square matrix and $I$ is an identity matrix such that $A^{2}=A$, then $A(I-2A)^{3}+2A^{3}$ is equal to:
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The area of the region bounded by the lines $\dfrac{x}{7\sqrt{3}a}+\dfrac{y}{b}=4$, $x=0$ and $y=0$ is:
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The rate of change (in $\text{cm}^2/\text{s}$) of the total surface area of a hemisphere with respect to radius $r$ at …
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For the function $f(x)=2x^{3}-9x^{2}+12x-5$, $x\in[0,3]$, match List-I with List-II:
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List-I…
Topic: CUET UG 2024 Mathematics
Two dice are thrown simultaneously. If X denotes the number of fours, then the expectation of X will be:
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If a function $f(x)=x^{2}+bx+1$ is increasing in the interval $[1,2]$, then the least value of $b$ is:
Topic: CUET UG 2024 Mathematics
Next 10 Questions — CUET UG 2024 Mathematics
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$\displaystyle \int_{0}^{\pi/2}\frac{1-\cot x}{cosec x+\cos x},dx=$
Topic: CUET UG 2024 Mathematics
If the random variable $X$ has the following distribution :
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For a square matrix $A_{n\times n}$ (A) $\lvert\operatorname{adj}A\rvert=\lvert A\rvert^{n-1}$ (B) $\lvert A\…
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The matrix $\begin{bmatrix}1&0&0 \\0&1&0 \\0&0&1 \end{bmatrix}$ is a(A) scalar matrix (B) …
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The feasible region represented by the constraints 4x + y $\geq$ 80, x + 5y $\geq$ 115, 3x + 2y $\leq$ …
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The area of the region enclosed between the curves $4x^{2}=y$ and $y=4$ is:
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$\displaystyle \int e^{x}\left(\frac{2x+1}{2\sqrt{x}}\right),dx=$
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If $f(x)=\begin{cases}kx+1,& x\le \pi\ \\cos x,& x>\pi\end{cases}$ is continuous at $x=\pi$, then the value of $k$ is:
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If $P=\begin{bmatrix}-1\\[2pt]2\\[2pt]1\end{bmatrix}$ and $Q=\begin{bmatrix}2&-4&1\end{bmatrix}$ are two matrices, then…
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$\Delta=\begin{vmatrix}1&\cos x&1\\ -\cos x&1&\cos x\\ -1&-\cos x&1\end{vmatrix}$(A) $\Delta=2(…
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