Q65 / 150 · MHT CET 2024 (15 May Shift 2) · Mathematics

The graphical solution set of the system of inequations $2 x+3 y \leq 6, x+4 y \geq 4, x \geq 0, y \geq 0$ is given by Figure

  • Correct answer
    A
    Fig. 1
  • B
    Fig. 3
  • C
    Fig. 2
  • D
    Fig. 4

Solution

Feasible region lies on origin side of $2 x+3 y=6$ and non-origin side of $x+4 y=4$, in $1^{\text {st }}$ quadrant. $\therefore \quad$ Option (A) is the correct answer.

Hence, the correct answer is option: 'A'.

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