CBSE Class 12 Mathematics 2026 Main Paper 65/5/2 · Q201 Marksalternative_optima

CBSE Class 12 Mathematics 2026 Main Paper 65/5/2 · Question 20 (Linear Programming)

Assertion: Minimizing Z=x+2y with 2x+y≥3, x+2y≥6, x,y≥0 has infinitely many minimizers, and the corners are (0,3) and (6,0). Reason: If two feasible corners attain the minimum, their whole joining segment does.

(A) Both true, and the reason explains the assertion.
(B) Both true, but the reason does not explain the assertion.
(C) Assertion true, reason false.
(D) Assertion false, reason true.

✅ Step-by-Step Solution

Final Answer: Both true, and the reason explains the assertion.

In the first quadrant x+2y≥6 implies 2x+y≥3. The boundary segment joins the two stated corners and the linear objective is 6 throughout it.

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CBSE Class 12 Mathematics 2026 Main Paper 65/5/2 · Question 20 (Linear Programming)

✅ Step-by-Step Solution

Master Chapter 12: Linear Programming

All Questions in CBSE Class 12 Mathematics 2026 Main Paper 65/5/2

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