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  • Need solution for RD Sharma maths Class 12 Chapter 29 Linear Programming Exercise Multiple Choice Question Question 14 textbook solution.

Need solution for RD Sharma maths Class 12 Chapter 29 Linear Programming Exercise Multiple Choice Question Question 14 textbook solution.

Answers (1)

Answer: (c) bounded in first quadrant

Hint:

Convert the inequalities into equation

Given:

x, y \geq 0, y \leq 6, x+y \leq 3

Solution :

Let’s convert the given inequalities into equations, we obtain

y=6, x+y=3, x=0, y=0

y=6 is the line passing through (0,6)and parallel to the x-axis. The region below the line y=6 will satisfy the given inequalities.

The line x+y=3 meets the coordinate axis at A (3,0) and B (0,3). Join these point to obtain the line x+y=3 . Clearly  (0,0)satisfies the inequalities x+y\leq 3. So, the region in xy-plane that contains the origin represents the solution set of the given equation.

Region represented by x\geq 0 and y\geq 0

Since, every point in the first quadrant satisfies these inequalities. So, the first quadrant is the region represented by the inequalities.

So, the correct option is (c)

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