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CUET · MATHS · PYQ PAPER 2023

Match List I with List II
LIST - ILIST - II
A. the region represented by \(x \geq 0, y \geq 0\)i. No feasible region
B. The region represented by the inequalities \(2 x+y \geq 3, x+2 y \geq 6, x, y \geq 0\)II. ist quadrant
C. The region represented by the inequalities \(x+2 y \leq 8,3 x+2 y \leq 12, x, y \geq 0\)III. unbounded
D. The region represented by the inequalities \(x+y \leq 2,3 x+5 y \geq 15, x, y \geq 0\)iv. bounded

Choose the correct answer from the options given below.

  1. A A-I, B-II, C-III, D-IV
  2. B A-IV, B-I, C-II, D-III
  3. C A-II, B-III, C-IV, D-I
  4. D A-III, B-IV, C-I, D-II
Verified Solution

Answer & Solution

Correct Answer

(C) A-II, B-III, C-IV, D-I

Step-by-step Solution

Detailed explanation

A. The region represented by \(x \geq 0, y \geq 0\) is the first quadrant. \(\rightarrow\) II B. For inequalities \(2 x+y \geq 3, x+2 y \geq 6, x, y \geq 0\), the feasible region is away from the origin for both constraints and extends infinitely in the first quadrant. This…
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