If $\cos\alpha + \cos\beta + \cos\gamma = 3\pi$, then $\alpha((\beta + \gamma) + \beta(\gamma + \alpha) + \gamma(\alpha + \beta))$ equals
Previous 10 Questions — JAMIA MILLIA ISLAMIA MCA 2021
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If the set A contains 5 elements and the set B contains 6 elements, then
the number of one-one and onto mappings from…
Topic: JAMIA MILLIA ISLAMIA MCA 2021
The maximum number of equivalence relations on the set $A = \{1,2,3\}$ is:
Topic: JAMIA MILLIA ISLAMIA MCA 2021
The probability that at least one of the events A and B occurs is 0.6.
If A and B occur simultaneously with probabili…
Topic: JAMIA MILLIA ISLAMIA MCA 2021
Three numbers are chosen from 1 to 20.
Find the probability that they are consecutive.
Topic: JAMIA MILLIA ISLAMIA MCA 2021
the standard deviation of some temperature data in °C is 5.
If the data were converted into °F, the variance would be:
Topic: JAMIA MILLIA ISLAMIA MCA 2021
Let $f(x) = x - [x]$, where $[\,]$ denotes the greatest integer function.
Then $f\left(\dfrac{5}{2}\right)$ is:
Topic: JAMIA MILLIA ISLAMIA MCA 2021
In an A.P. the $p^{th}$ term is $q$ and the $(p+q)^{th}$ term is $0$. Then the $q^{th}$ term is:
Topic: JAMIA MILLIA ISLAMIA MCA 2021
The locus of a point for which $y=0,\ z=0$ is:
Topic: JAMIA MILLIA ISLAMIA MCA 2021
The equation of a circle with origin as centre and passing through the vertices of an equ
Topic: JAMIA MILLIA ISLAMIA MCA 2021
Equations of diagonals of the square formed by the lines $x = 0,\ y = 0,\ x = 1$ and $y = 1$ are:
Topic: JAMIA MILLIA ISLAMIA MCA 2021
Next 10 Questions — JAMIA MILLIA ISLAMIA MCA 2021
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If A is a square matrix such that $A^2 = I$, then
$(A - I)^3 + (A - I)^3 - 7A$ is equal to:
Topic: JAMIA MILLIA ISLAMIA MCA 2021
Let $f(t) =
\begin{vmatrix}
\cos t & 1 & 1 \\
2\sin t & 2t & 1 \\
\sin t & t & t
\end{vmatrix}$,
then $\displaystyle…
Topic: JAMIA MILLIA ISLAMIA MCA 2021
If $x, y, z$ are all different from zero and
$\begin{vmatrix}
1 + x & 1 & 1 \\
1 & 1 + y & 1 \\
1 & 1 & 1 + z
\end{…
Topic: JAMIA MILLIA ISLAMIA MCA 2021
If $f(x)=x^{2}\sin\frac{1}{x}$ for $x\neq0$, then the value of the function $f$ at $x=0$,
so that $f$ is continuous at …
Topic: JAMIA MILLIA ISLAMIA MCA 2021
Maximum value of $\left(\dfrac{1}{x}\right)^x$ is:
Topic: JAMIA MILLIA ISLAMIA MCA 2021
$\displaystyle \int \dfrac{\cos 2x - \cos 2\theta}{\cos x - \cos \theta}\, dx$ is equal to:
Topic: JAMIA MILLIA ISLAMIA MCA 2021
he degree of the differential equation
$\left[1 + \left(\dfrac{dy}{dx}\right)^2\right]^{3/2} = \dfrac{d^2y}{dx^2}$ is:
Topic: JAMIA MILLIA ISLAMIA MCA 2021
The solution of the differential equation
$\dfrac{dy}{dx} = e^{x - y} + x^2 e^{-y}$ is:
Topic: JAMIA MILLIA ISLAMIA MCA 2021
For any vector $\vec{a}$, the value of
$(\vec{a} \times \hat{i})^2 + (\vec{a} \times \hat{j})^2 + (\vec{a} \times \ha…
Topic: JAMIA MILLIA ISLAMIA MCA 2021
Number of vectors of unit length perpendicular to
$\vec{a} = 2\hat{i} + \hat{j} + 2\hat{k}$
and $\vec{b} = \hat{j} …
Topic: JAMIA MILLIA ISLAMIA MCA 2021
