JEE Previous Year Question
If feasible region is as shown in the figure, then the related inequalities are
Topic: JEE PYQ
Answer: A. Full step-by-step solution below.
- A3x+4y≥12,y-x≥0,y≤3,x,y≥0
- B3x+4y≤12,y-x≤0,y≥3,x,y≥0
- C3x+4y≤12,y-x≥0,y≤3,x,y≥0
- D3x+4y≥12,y-x≤0,y≥3,x,y≥0
Correct answer: A
Solution
(a) : passes through andEquation of line is
Since, shaded region on is on opposite side of the origin.
Inequality for is
represent the line i.e., and shaded region is on opposite side of origin, So, required inequality is .
represent the line or , since shaded region is on side of origin so inequality will be or . Related inequalities are and as the shaded region is in first quadrant.
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