CUET · MATHS · PYQ PAPER 2023
The shaded region shown in the figure is given by inequalities:
- A \(14 x+5 y \geq 70, y \leq 14, x-y \leq 5\)
- B \(14 x+5 y \geq 70, y \leq 14, x-y \geq 5\)
- C \(14 x+5 y \leq 70, y \leq 14, x-y \geq 5\)
- D \(14 x+5 y \geq70, y \geq14, x-y \geq 5\)
Answer & Solution
Correct Answer
(A) \(14 x+5 y \geq 70, y \leq 14, x-y \leq 5\)
Step-by-step Solution
Detailed explanation
Line through \((5,0)\) and \((0,14)\): \( \frac{x}{5} + \frac{y}{14} = 1 \implies 14x+5y = 70 \). Shaded region is above: \( 14x+5y \geq 70 \). Horizontal line: \( y=14 \). Shaded region is below: \( y \leq 14 \). Line through \((5,0)\) and \((10,5)\): Slope…
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