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जब |x| + |y| ≤ 1 हो तो 5x + 7y के अधिकतम तथा न्यूनतम मान है

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CSIR-UGC (NET) Mathematical Science: Held on (26 Nov 2020)
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  1. 5 तथा -5
  2. 5 तथा -7
  3. 7 तथा -5
  4. 7 तथा -7

Answer (Detailed Solution Below)

Option 4 : 7 तथा -7
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व्याख्या:

यहाँ कोनों के बिंदु हैं

(1, 0), (0, 1), (-1, 0) & (0, -1)

माना z = 5x + 7y, इसलिए

z(1, 0) = 5, z(0, 1) = 7, z(-1, 0) = - 5, z(0, -1) = -7

इसलिए अधिकतम मान 7 है और न्यूनतम मान -7 है
विकल्प (4) सही है

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