Class 12 Linear Programming · Assertion Reason1 Marksfeasible_region

Class 12 Maths · Linear Programming · Assertion Reason #23

Assertion (A): The polygon with vertices (0,0),(20,0),(20/3,20/3),(0,16) represents 2x+5y≥80,x+y≤20,x,y≥0. Reason (R): A set is convex when the segment joining any two of its points lies completely in the set.

Coordinate-derived feasible-region graph for cbse12-math-lp-p1-assertion_reason-003

(A) Both A and R are true, and R correctly explains A.
(B) Both A and R are true, but R does not correctly explain A.
(C) A is true but R is false.
(D) A is false but R is true.

✅ Step-by-Step Solution

Final Answer: Option (D): A is false but R is true.

The shown origin violates 2x+5y≥80, so A is false; the definition in R is true.

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Class 12 Maths · Linear Programming · Assertion Reason #23

✅ Step-by-Step Solution

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