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  • Provide solution for RD Sharma maths Class 12 Chapter 29 Linear Programming Exercise Multiple Choice Question Question 27 textbook solution.

Provide solution for RD Sharma maths Class 12 Chapter 29 Linear Programming Exercise Multiple Choice Question Question 27 textbook solution.

Answers (1)

Answer : (b) half plane that neither contains the origin nor the points on the line 2x + 3y = 6

Hint:

Convert the inequalities into equation

Given:

The graph of inequality,

2x + 3y > 6

Solution:

By the given inequality

\begin{aligned} &3 y>6-2 x \\ &y>\frac{6-2 x}{3} \end{aligned}

Now consider y=\frac{6-2 x}{3} and the plot the graph

x 0 3
y 2 0

We used dashed as

y>\frac{6-2 x}{3}as there is no equal to sign

Therefore,y is greater than , \frac{6-2 x}{3} we will shade the upper part because at (0,0) the inequality becomes 0 > 6, which is not correct.

Thus the graph of 2x+3y>6drawn among the option (b)

So, the correct option (b), half-plane that neither contains origin nor the points of the line 2x+3y=6

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