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CUET · MATHS · PYQ PAPER 2023

In the adjoining figure, the inequality representing AB is :
image

  1. A \(14 x+8 y \leq 65\)
  2. B \(x+2 y \leq 9\)
  3. C \(8 x+14 y \leq 65\)
  4. D \(4 x+6 y \leq 29\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(8 x+14 y \leq 65\)

Step-by-step Solution

Detailed explanation

\(x\)-intercept of AB from figure is \(x = 8.125 = \frac{65}{8}\). Checking options for this \(x\)-intercept: Option C: \(8x+14y=65\) When \(y=0\), \(8x = 65 \implies x = \frac{65}{8} = 8.125\). This matches the figure. The shaded region is below the line and includes the line,…