$ \int e^x , dx = ? $

1

If a function $f(x)$ is increasing, then its derivative must be:

Topic: JAMIA MILLIA ISLAMIA MCA 2025

2

The second derivative of $x^3$ is:

Topic: JAMIA MILLIA ISLAMIA MCA 2025

3

The derivative of $e^x$ is:

Topic: JAMIA MILLIA ISLAMIA MCA 2025

4

A function is continuous at x = a if:

Topic: JAMIA MILLIA ISLAMIA MCA 2025

5

$\frac{\sin x}{x}$ as $x \to 0$ is:

Topic: JAMIA MILLIA ISLAMIA MCA 2025

6

The determinant of a diagonal matrix is :

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7

If $A$ and $B$ are two square matrices of the same order, then $(A + B)^2 =$

Topic: JAMIA MILLIA ISLAMIA MCA 2025

8

A random variable X follows a binomial distribution with parameters n = 5 and p = 0.3 . The expected value of X is:

Topic: JAMIA MILLIA ISLAMIA MCA 2025

9

The probability of getting at least one head when tossing two fair coins is:

Topic: JAMIA MILLIA ISLAMIA MCA 2025

10

If $A$ and $B$ are independent events, then $P(A \cap B)$ is:

Topic: JAMIA MILLIA ISLAMIA MCA 2025

1

The integral of $ \frac{1}{x} $ with respect to $ x $ is :

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2

The definite integral of $ x^2 $ from $ 0 $ to $ 2 $ is:

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3

The area under the curve $ y = x^2 $ from $ x = 0 $ to $ x = 1 $ is:

Topic: JAMIA MILLIA ISLAMIA MCA 2025

4

The solution of $ \frac{dy}{dx} = x $ is:

Topic: JAMIA MILLIA ISLAMIA MCA 2025

5

The sum of the roots of the quadratic equation $ ax^2 + bx + c = 0 $ is:

Topic: JAMIA MILLIA ISLAMIA MCA 2025

6

The roots of the equation $ x^2 - 4x + 4 = 0 $ are:

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7

If $ \log a = 2 $ and $ \log b = 3 $, then $ \log(ab) $ is:

Topic: JAMIA MILLIA ISLAMIA MCA 2025

8

The derivative of $ x^x $ is:

Topic: JAMIA MILLIA ISLAMIA MCA 2025

9

If $ A $ is an invertible matrix, then $ A^{-1} \times A = $

Topic: JAMIA MILLIA ISLAMIA MCA 2025

10

The function $ f(x) = x^3 - 3x $ is:

Topic: JAMIA MILLIA ISLAMIA MCA 2025