Example 5: no feasible regionउदाहरण 5: कोई सुसंगत क्षेत्र नहींExample 5: koi feasible region nahi

NCERT Fig 12.6 · Class 12 Maths · Chapter 12 · interactive diagram

Parts and what they mean

• Half-plane x + y \ge 8 (with x, y ≥ 0) (अर्धतल x + y \ge 8 (x, y ≥ 0 सहित)) — Points on or above the line x + y = 8.
• Half-plane 3x + 5y \le 15 (with x, y ≥ 0) (अर्धतल 3x + 5y \le 15 (x, y ≥ 0 सहित)) — The small triangle with corners (0, 0), (5, 0), (0, 3).
• Line x + y = 8 (रेखा x + y = 8) — Through (8, 0) and (0, 8).
• Line 3x + 5y = 15 (रेखा 3x + 5y = 15) — Through (5, 0) and (0, 3).
• No common region (कोई उभयनिष्ठ क्षेत्र नहीं) — The two shaded parts never overlap, so no point satisfies all constraints: no feasible region, no feasible solution.
• x-axis (x-अक्ष) — The horizontal number line; inputs x are read here.
• y-axis (y-अक्ष) — The vertical number line; outputs y = f(x) are read here.
• Origin O(0, 0) (मूल बिंदु O(0, 0)) — Where the two axes cross.

Original diagram drawn by Simple Learning Hub, based on NCERT Fig 12.6. Report a mistake