Test each option in y′−y′′=2x. A: y=x2+2x+2 gives y′−y′′=(2x+2)−2=2x. True. B: y=x2+2x+1 gives y′−y′′=2x. True. C: y=x+2 gives 1−0=1=2x. D: y=x2−2x+1 gives (2x−2)−2=2x−4=2x. So A and B only.
The corner points of the feasible region determined by the system of linear constraints are (0, 10), (5, 5), (15, 15), (0, 20). Let Z = ax + by,…
CUET UG 2023 — Mathematics Applied-Mathematics
2023mcqmedium
The corner points of the feasible region determined by the system of linear constraints are (0, 10), (5, 5), (15, 15), (0, 20). Let Z=ax+by, where a, b > 0. Condition on a and b so that the maximizing value of Z occurs at both the points (15, 15) and (0, 20) is:
Official previous-year question
Held on 23 May 2023 · Verified 13 Jul 2026.
Options
- A
a = b
- B
a = 2b
- C
b = 2a
- D
b = 3a
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