CUET UG Mathematics Applied 2024 Previous Year Questions (PYQs) – Page 2 of 3
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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 $r=\sqrt[3]{1.331}\ \text{cm}$ is:
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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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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 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 $\vec a,\ \vec b$ and $\vec c$ are three vectors such that $\vec a+\vec b+\vec c=\vec 0$, where $\vec a$ and $\vec b$ are unit vectors and $|\vec c|=2$, then the angle between the vectors $\vec b$ and $\vec c$ is:
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Match List-I with List-II :
Choose the correct answer from the options given below:
| List-I | List-II |
|---|---|
| (A) $|x-1|+|x-2|$ | (I) is differentiable everywhere except at x = 0 |
| (B) $x-|x|$ | (II)is continuous everywhere |
| (C) $x-[x]$ | (III) is not differentiable at x = 1 |
| (D) $x|x|$ | (IV) is differentiable at x = 1 |
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Match List-I with List-II :
| List-I | List-II |
|---|---|
| (A) Integrating factor of $x\,dy-(y+2x^{2})\,dx=0$ | (I) $\dfrac{1}{x}$ |
| (B) Integrating factor of $(2x^{2}-3y)\,dx=x\,dy$ | (II) $x$ |
| (C) Integrating factor of $(2y+3x^{2})\,dx+x\,dy=0$ | (III) $x^{2}$ |
| (D) Integrating factor of $2x\,dy+(3x^{3}+2y)\,dx=0$ | (IV) $x^{3}$ |
Choose the correct answer from the options given below:
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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 invertible
Choose the correct answer from the options given below :
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$\displaystyle \int_{0}^{\pi/2}\frac{1-\cot x}{cosec x+\cos x},dx=$
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If the random variable $X$ has the following distribution :
| X | P(X) |
|---|---|
| 0 | k |
| 1 | 2k |
| 2 | 3k |
| otherwise | 0 |
Match List-I with List-II :
| List-I | List-II |
|---|---|
| (A) $k$ | (I) $\dfrac{5}{6}$ |
| (B) $P(X<2)$ | (II) $\dfrac{4}{3}$ |
| (C) $E(X)$ | (III) $\dfrac{1}{2}$ |
| (D) $P(1\le X\le 2)$ | (IV) $\dfrac{1}{6}$ |
Choose the correct answer from the options given below :
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CUET UG Mathematics Applied
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CUET UG Mathematics Applied
Online Test Series, Information About Examination,
Syllabus, Notification
and More.
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