JEE Previous Year Question
The shaded region in the following figure represents the solution set for a certain linear programming problem. Then, linear constraints for this region are given by
Topic: JEE PYQ
Answer: D. Full step-by-step solution below.
- A2x+3y≥6,-x+2y≥2,3x+6y≤18,5-3y≥ 3,x≥0,y≥0
- B2x+3y≥6,-x+2y≤2,x-3y≤3,2y≥18, x≥0,y≥0
- C2x+3y≤6,-x+2y≥2,3x+6y≤18,x-3y≤ 3,x≥0,y≥0
- D2x+3y≥6,3x+6y≤18,x-3y≤3,-x+2y≤2, x≥0,y≥0
Correct answer: D
Solution
(d) : Line passes through andEquation of line is
The shaded region for lies on the side of origin.
So, inequality will be .
Similarly represent the line
Since shaded region lies on opposite side of origin for
Similarly, other two inequalities are: or represented by , and represented by . So the given system of inequations are ,
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