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CBSE Class 12 Mathematics 2026 Main Paper 65/4/1 · Q151 Marksobjective_function

CBSE Class 12 Mathematics 2026 Main Paper 65/4/1 · Question 15 (Linear Programming)

For p,q>0, every point of segment AB in the shaded region maximizes Z=px+qy. Find the relation between p and q.
Shaded quadrilateral ABCO with A=(0,5), B=(3,4), C=(5,0) and O=(0,0).
Shaded quadrilateral ABCO with A=(0,5), B=(3,4), C=(5,0) and O=(0,0).

✅ Step-by-Step Solution

Final Answer: q=3p
  1. Read A=(0,5) and B=(3,4). Equal objective values give 5q=3p+4q, so q=3p.

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