imo class 12 determinants

Geeta buys 2 kgs of apples and 1 kg of mangoes for ₹400. Later, she buys 4 kgs of apples and 2 kgs of mangoes for ₹800. What can be said about the pricing using matrix methods?

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Geeta buys 2 kgs of apples and 1 kg of mangoes for ₹400. Later, she buys 4 kgs of apples and 2 kgs of mangoes for ₹800. What can be said about the pricing using matrix methods?

  • A. Unique prices can be found
  • B. No prices exist (inconsistent)
  • C. Infinite combinations of prices exist
  • D. Apples are free

Answer: C) Infinite combinations of prices exist

Explanation: Equations 2x+y=400 and 4x+2y=800 are proportional. D = 4-4 = 0, and (adj A)B = 0. The system is dependent (infinite solutions).

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