The corner points of the feasible region determined by x + y ≤ 8, 2x + y ≥ 8, x ≥ 0, y ≥ 0 are A(0, 8), B(4, 0), and C(8, 0). If the objective function Z = ax + by has its maximum value on the line segment AB, then the relation between a and b is:

1

If $t=e^{2x}$ and $y=ln(t^2)$, then $\frac{d^2y}{dx^2}$ is

Topic: CUET UG 2024 Mathematics

2

An objective function Z = ax + by is maximum at points (8, 2) and (4, 6). If a ≥ 0, b ≥ 0, and ab = 25, then the maximu…

Topic: CUET UG 2024 Mathematics

3

The area of the region bounded by the lines x + 2y = 12, x = 2, x = 6, and the x-axis is:

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4

A die is rolled thrice. What is the probability of getting a number greater than 4 in the first and second throw of the…

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5

$\displaystyle \int \frac{\pi}{x^{n+1}-x}dx=$

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$\displaystyle \int_{0}^{1}\frac{a-bx^{2}}{\left(a+bx^{2}\right)^{2}}dx\ \text{is:}$

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7

The second order derivative of which of the following functions is $5^x$?

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8

The degree of the differential equation $\left(1-\left(\dfrac{dy}{dx}\right)^2\right)^{3/2}=k\dfrac{d^2y}{dx^2}$ is:

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9

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

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10

If A is a square matrix of order $4$ and |A|=4, then |2A| will be:

Topic: CUET UG 2024 Mathematics