xdy=ydx⇒ydy=xdx. Integrating: lny=lnx+c, so y=kx. This represents a family of straight lines passing through the origin.
The corner points of the feasible region determined by the following system of linear inequalities : 2x + y ≤ 10, x + 3y ≤ 15, x, y ≥ 0 are (0, 0),…
CUET UG 2023 — Mathematics Algebra
2023mcqmedium
The corner points of the feasible region determined by the following system of linear inequalities :
2x+y≤10, x+3y≤15, x,y≥0 are (0, 0), (5, 0), (3, 4) and (0, 5). Let z=px+qy, where p,q>0 condition on p and q so that maximum of z occurs at both (3, 4) and (0, 5) is :
Official previous-year question
Held on 30 May 2023 · Verified 13 Jul 2026.
Options
- A
p=q
- B
p=2q
- C
p=3q
- D
q=3p
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