The function $f(x)=x+\cos x$ is

1

If $x^{,y}y^{,x}=16$, then $\left.\dfrac{dy}{dx}\right|_{(2,2)}$ is

Topic: JAMIA MILLIA ISLAMIA MCA 2024

2

If $\sec!\left(\dfrac{x-y}{x+y}\right)=a$, then $\dfrac{dy}{dx}$ is

Topic: JAMIA MILLIA ISLAMIA MCA 2024

3

What is $\displaystyle \lim_{x\to 0}\left(\frac{x\tan x}{\cot x}\right)$?

Topic: JAMIA MILLIA ISLAMIA MCA 2024

4

If $A$ and $B$ are symmetric matrices of the same order, then $(AB - BA)$ is a

Topic: JAMIA MILLIA ISLAMIA MCA 2024

5

Let $A$ be a non-singular matrix of order $2 \times 2$. Then $|A^{-1}| =$

Topic: JAMIA MILLIA ISLAMIA MCA 2024

6

A matrix $A = [a_{ij}]_{m \times n}$ is said to be symmetric if

Topic: JAMIA MILLIA ISLAMIA MCA 2024

7

A square matrix $A = [a_{ij}]{n \times n}$ is called a lower triangular matrix if $a{ij} = 0$ for

Topic: JAMIA MILLIA ISLAMIA MCA 2024

8

If $A$ is a square matrix such that $A^2 = A$, then $(I - A)^3 + A$ is equal to

Topic: JAMIA MILLIA ISLAMIA MCA 2024

9

$\sin(\tan^{-1}x)$, where $|x| < 1$, is equal to

Topic: JAMIA MILLIA ISLAMIA MCA 2024

10

$\tan^{-1}!\left(\dfrac{1}{2}\right) + \tan^{-1}!\left(\dfrac{1}{3}\right) =$

Topic: JAMIA MILLIA ISLAMIA MCA 2024

1

$\displaystyle \int x^{2}\sin(x^{3}),dx =$

Topic: JAMIA MILLIA ISLAMIA MCA 2024

2

The objective function of a linear programming problem is

Topic: JAMIA MILLIA ISLAMIA MCA 2024

3

If $|z_1| = 4,\ |z_2| = 3$, then what is the value of $|z_1 + z_2 + 3 + 4i|$ ?

Topic: JAMIA MILLIA ISLAMIA MCA 2024

4

Region represented by $x \ge 0,\ y \ge 0$ is

Topic: JAMIA MILLIA ISLAMIA MCA 2024

5

An urn contains 10 black and 5 white balls. Two balls are drawn from the urn one after the other without replacement. W…

Topic: JAMIA MILLIA ISLAMIA MCA 2024

6

The absolute maximum value of $y = x^3 - 3x + 2$ in $0 \le x \le 2$ is

Topic: JAMIA MILLIA ISLAMIA MCA 2024

7

$\displaystyle \int_{0}^{\pi} \sin^2 x,dx =$

Topic: JAMIA MILLIA ISLAMIA MCA 2024

8

If$P(A) = 0.4,\ P(B) = 0.7,\ P(B|A) = 0.6$, then $P(A \cup B)$ is

Topic: JAMIA MILLIA ISLAMIA MCA 2024

9

The area bounded by the curves $y^2 = 4x$ and $y = x$ is equal to

Topic: JAMIA MILLIA ISLAMIA MCA 2024

10

What is the order of the differential equation $y'' + 5y' + 6 = 0$?

Topic: JAMIA MILLIA ISLAMIA MCA 2024