If $\cos\alpha,\cos\beta,\cos\gamma$ are the direction cosines of vector $\vec a$, then value of $\cos 2\alpha + \cos 2\beta + \cos 2\gamma$ is equal to:
Previous 10 Questions — CUET UG 2022 Applied Mathematics
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$\int \tan x(\sec x - \tan x)\,dx =$
Topic: CUET UG 2022 Applied Mathematics
$\frac{d}{dx}\left[\int_{0}^{2a} f(\sin 2x)\,dx\right] =$
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The order of the differential equation whose general solution is $y = e^x (a\cos x + b\sin x)$, where $a$ an…
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Match List I with List II List I List II A. $\int \frac{1}{x+\sqrt{x}}\,dx$I. $2\sqrt{x}+C$ B…
Topic: CUET UG 2022 Applied Mathematics
If $y = e^{\log(\sin^{-1}(x))} + e^{\log(\cos^{-1}(x))},\; 0 < x < 1$ then
Topic: CUET UG 2022 Applied Mathematics
If $y=\log(\sec e^{x^2})$, then $\frac{dy}{dx}=$
Topic: CUET UG 2022 Applied Mathematics
If
$f(x)=
\begin{cases}
\frac{\sqrt{1-\cos2x}}{x\sqrt2}, & x\ne0 \\
k, & x=0
\end{cases}$
then the value of $k$ will …
Topic: CUET UG 2022 Applied Mathematics
Identify the correct option(s):A. A modulus function is continuous at every point in its domain. B. A modulu…
Topic: CUET UG 2022 Applied Mathematics
If $A=\begin{bmatrix}2 & 1 & 0 \\ 3 & 1 & 2 \\ 0 & 4 & -1\end{bmatrix}$, then $|adj(A)|$ is equal to:
Topic: CUET UG 2022 Applied Mathematics
If
$A=\begin{bmatrix}
\cos\alpha & \sin\alpha \\
-\sin\alpha & \cos\alpha
\end{bmatrix}$
then:
Topic: CUET UG 2022 Applied Mathematics
Next 10 Questions — CUET UG 2022 Applied Mathematics
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The value of$\mathbf{i}\cdot(\mathbf{j}\times\mathbf{k})+\mathbf{j}\cdot(\mathbf{i}\times\mathbf{k})+\mathbf{k}\cdot(\m…
Topic: CUET UG 2022 Applied Mathematics
The corner points of the feasible region for an L.P.P are$(2,0),(7,0),(4,5),(0,3)$and$z=2x+3y$is the objective function…
Topic: CUET UG 2022 Applied Mathematics
The area of the parallelogram whose adjacent sides are
$(\mathbf{i}+\mathbf{k})$ and $(2\mathbf{i}+\mathbf{j}+\mathbf{…
Topic: CUET UG 2022 Applied Mathematics
If $x(\mathbf{i}+\mathbf{j}+\mathbf{k})$ is a unit vector then value of $x$ is:
Topic: CUET UG 2022 Applied Mathematics
The point of intersection of the lines
$\frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}$
and
$\frac{x-4}{5}=\frac{y-1}{2}=…
Topic: CUET UG 2022 Applied Mathematics
The distance between the point $(3,4,5)$ and the point where the line
$\frac{x-3}{1}=\frac{y-4}{2}=\frac{z-5}{2}$
mee…
Topic: CUET UG 2022 Applied Mathematics
If events $A$ and $B$ are independent, then identify the correct statements(A) $A$ and $B$ must be mutually exclusive&n…
Topic: CUET UG 2022 Applied Mathematics
The equation of plane passing through the point $(0,7,-7)$ and containing the line$\frac{x+1}{-3}=\frac{y-3}{2}=\frac{z…
Topic: CUET UG 2022 Applied Mathematics
If $A$ and $B$ are two independent events with $P(A)=\frac{3}{5}$ and $P(B)=\frac{4}{9}$, then$P(A' \cap B')…
Topic: CUET UG 2022 Applied Mathematics
A line$\frac{x-2}{1}=\frac{y-3}{2}=\frac{z-1}{-1}$is perpendicular to a plane $(P)$ which passes through the point $(4,…
Topic: CUET UG 2022 Applied Mathematics
