CUET · MATHS · PYQ PAPER 2025
The feasible region corresponding to the linear constraints of a Linear Programming Problem (LPP) is represented by the shaded region in the given figure. Which of the following is not a constraint to the given LPP?
- A \(x+2 y \leq 10\)
- B \(x+y \geq 2\)
- C \(x-y \geq 1\)
- D \(x-y \leq 1\)
Answer & Solution
Correct Answer
(C) \(x-y \geq 1\)
Step-by-step Solution
Detailed explanation
Equation of line passing through \( (1,0) \) and \( (4,3) \) is \( y - 0 = \frac{3-0}{4-1}(x-1) \Rightarrow y = 1(x-1) \Rightarrow x-y=1 \). Test point \( (2,2) \) from the feasible region: \( 2-2=0 \). Since \( 0 \leq 1 \), the constraint corresponding to this line is…
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