Mathematical Induction: JEE Main Mathematics Previous Year Questions

8 previous year questions from Mathematical Induction. Here are the 8 most important ones; open any question for the correct answer and a full step-by-step solution.

1. 1.The shaded region in the figure given is the solution of which of the inequations?
2. 2.The solution set of the inequalities $4x+3y\le 60$, $y\ge 2x\text{,}x\ge 3\text{,}x\text{,}y\ge 0$ is represented by region
3. 3.The maximum value of the objective function $z=4x+5y$ subject to constraints $2x+3y\le 12$, $2x+y\le 8$ and $x\ge 0\text{,}y\ge 0$ is
4. 4.The shaded region is the solution set of the inequalities.
5. 5.The graphical solution set of the system of inequations $x+y\le 70\text{,}x+2y\le 100\text{,}2x+y\le 120\text{,}x$ $\ge 0\text{,}y\ge 0$ is given by
6. 6.If feasible region is as shown in the figure, then the related inequalities are
7. 7.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
8. 8.A dietician has to develop a special diet using two foods $X$ and $Y$. Each packet (containing $30g$ ) of food. $X$ contains 12 units of calcium, 4 units of ir…