MHTCET 2016 Math Solved Paper

(b) In the given figure, OC line passes through (0,0) and (3,3).
So, equation of line is y = x.
Also, shaded portion of this line is towards the X - axis, so x - y ≥ 0.
In the given figure, line AB is parallel to y-axis.
∴ Equation of line AB is x = 5, also shaded portion of this line is towards the origin, so x - 5 ≤ 0 or x ≤ 5.
In the given figure, line BC is parallel to X-axis.
Therefore, equation of line BC is y = 3. Also, shaded portion of this line is towards the origin, so, y -3 ≤ 0 o y ≤ 3.
Also, the shaded region lies in first quadrant, so x ≥ 0 and y ≥ 0.
Hence, constraints of given shaded region are
x,y ≥ 0, x - y ≥ 0, x ≤ 5 , y ≤ 3.