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

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

Answers (1)

Answer : (c)

\{x:|x|=5\}

Hint:

Convex set is a set in which all points joining the line segment lies inside the set

Given:

a) \begin{aligned} &\{(x, y): 2 x+5 y<7\} \\ \end{aligned}

b) \begin{aligned} &\left\{(x, y): x^{2}+y^{2} \leq 4\right\} \\ \end{aligned}

c) \begin{aligned} &\{x:|x|=5\} \\ \end{aligned}

d) \begin{aligned} &\left\{(x, y): 3 x^{2}+2 y^{2} \leq 6\right\} \end{aligned}

Solution :

\left | x \right |=5is not a convex set as any two points from negative and positive x-axis, if are joined will not lie in the set.

Since, option (a), (b) and (d) is a convex set and option (c) is not a convex set. So, the correct option is (c).

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