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CUET · MATHS · PYQ PAPER 2023

The feasible region for the constraints \(x \geq 0, x+y \leq 1\) and \(x-y \leq 1\), is situated in:
(A) I and II Quadrant
(B) I Quadrant
(C) II and IV Quadrant
(D) IV Quadrant
(E) I, II, III and IV Quadrant
Choose the correct answer from the options given below:

  1. A (A) Only
  2. B \((B)\) and \((D)\) Only
  3. C (B) and (C) Only
  4. D (E) Only
Verified Solution

Answer & Solution

Correct Answer

(B) \((B)\) and \((D)\) Only

Step-by-step Solution

Detailed explanation

Vertices of feasible region: \\((0,1), (1,0), (0,-1))\\). Region includes points with \\(x>0, y>0\\) (Quadrant I) and points with \\(x>0, yThus, the feasible region is situated in Quadrant I and Quadrant IV. This matches options (B) and (D). Answer: \((B)\) and \((D)\) Only