CUET UG 2023 Mathematics Question Paper (02-Jun-2023) (Shift 2)

Question 1

Corner points of a feasible bounded region are (0,10), (4,2), (3,7) and (10,6). Maximum value 50 of objective function $ z = ax + by $ occurs at two points (0,10) and (10,6). The value of $ a $ and $ b $ are:

Accepted Answer

$ a = 2, b = 5 $

Answer

$ a = 5, b = 2 $

Answer

$ a = 4, b = 5 $

Answer

$ a = 5, b = 4 $

Question 2

Degree of the differential equation $ \frac{d^2y}{dx^2} + 3 \left( \frac{dy}{dx} \right)^{\frac{1}{2}} = y^2 + e^x $ is:

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 3

General solution of the differential equation $ \frac{2y dx - 3x dy}{y} = 0 $ is (c is an arbitrary constant):

Accepted Answer

$ y^3 = cx^2 $

Answer

$ y = cx $

Answer

$ y^3 = x^2 $

Answer

$ y = cx^2 $

Question 4

Which of the following is the probability of $ x $ successes in a binomial distribution with number of trials $ n $ and probability of success as $ \theta $ ( $ 0 < \theta < 1 $ ) in each trial?

Accepted Answer

$ ^n c_x \theta^x (1 - \theta)^{n-x}, x = 0,1,2,\dots,n $

Answer

$ ^n p_x \theta^x (1 - \theta)^{n-x}, x = 0,1,2,\dots,n $

Answer

$ ^n c_x \theta (1 - \theta) $

Answer

$ ^n c_x \theta^x (1 - \theta)^x, x = 0,1,2,\dots,n $

Question 5

$\int_{2}^{3} |2x - 1| \,dx =$

Accepted Answer

4

Answer

5

Answer

6

Answer

8

CUET UG 2023 Mathematics Question Paper (02-Jun-2023) (Shift 2)

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