CUET · MATHS · PYQ PAPER 2025
The solution set of the linear constraints \(x-2 y \geq 0,2 x-y \leq-4, x \geq 0\) and \(y \geq 0\) is
- A \(\phi\)
- B {(- 1, 0), (0, 2)}
- C {(- 1, 0), (0, 2), (0, 0)}
- D unbounded region in first quadrant
Answer & Solution
Correct Answer
(D) unbounded region in first quadrant
Step-by-step Solution
Detailed explanation
\(x \geq 2y\) \(2x - y \leq -4\) From \(x \geq 2y\), it implies \(2x \geq 4y\). Substitute into the second inequality: \(4y - y \leq 2x - y \leq -4\) \(3y \leq -4\) \(y \leq -\frac{4}{3}\) This contradicts the constraint \(y \geq 0\). Therefore, the solution set is \(\phi\).
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