University Karnataka Department of Pre University Education Course & Year II PUC Subject Mathematics Download Annual Examination Model Question Paper Year 2023 Document Type PDF Official Website https://pue.karnataka.gov.in/english

## PUE PUC II Mathematics Model Question Paper 2023

Download Karnataka Department of Pre University Education (PUE) March 2023 Second Year PUC Mathematics Annual Examination Model Question Paper.

Download PUE Karnataka II PUC 2023 Model Question Papers Here [All Subjects]

## PUE Karnataka PUC II Maths Model Questions

Part-A:
I. Answer ALL the Multiple Choice Questions
1. The equation of xy- plane is
(A) π₯ = 0
(B) π¦ = 0
(C) π₯ = 0 and π¦ = 0
(D) π§ = 0

2. The corner points of the feasible region determined by the following system of linear inequalities: 2x + y β€ 10, x + 3y β€ 15, x, y β₯ 0 are (0, 0), (5, 0), (3, 4) and (0, 5). Let Z = ax + by, where a, b > 0. Condition on a and b so that the maximum of Z occurs at both (3, 4) and (0, 5) is
(A) a = b
(B) a = 2b
(C) a = 3b
(D) b = 3a

II. Fill in the blanks by choosing the appropriate answer from those given in the bracket.
1.For a square matrix A in matrix equation AX = B. If |A| = 0 and (adj A) B β  0, then there exists β¦β¦ solution.
2. Sum of the intercepts cut off by the plane 2x + y β z = 5 is β¦β¦β¦
3. The slope of the normal to the curve y = 2 π₯- 3 sin x at x = 0 is ……
4. The probability of obtaining an even prime number on each die, when a pair of dice is rolled isβ¦..

III. Answer all the following questions
1. Define a bijective function.
2. Find the derivative of the function sec( tanβπ₯ ) with respect to x.
3. Define feasible solutions in a linear programming problem.
4. Find β«1βπ πππ₯/πππ 2π₯ ππ₯.
5. Define Negative of a Vector.

Instructions :
1) The question paper has five parts namely A, B, C, D and E. Answer all the parts.
2) Part A has 10 Multiple choice questions, 5 Fill in the blanks and 5 Very Short Answer questions of 1 mark each.
3) Part A should be answered continuously at one or two pages of Answer sheet and Only first answer is considered for the marks in subsection I and II of Part A.
4) Use the graph sheet for question on linear programming in PART E

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