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Tamil Nadu Board of Secondary EducationHSC Commerce Class 12

Choose the correct alternative: If abcabcababbcbccacaa1x+b1y=c1,a2x+b2y=c2,Δ1=|a1b1a2b2|,Δ2=|b1c1b2c2|Δ3=|c1a1c2a2| then (x , y) is - Business Mathematics and Statistics

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Question

Choose the correct alternative:

If `"a"_1/x + "b"_1/y = "c"_1, "a"_2/x + "b"_2/y = "c"_2, Delta_1 = |("a"_1, "b"_1),("a"_2, "b"_2)|, Delta_2 = |("b"_1, "c"_1),("b"_2, "c"_2)| Delta_3 = |("c"_1, "a"_1),("c"_2, "a"_2)|` then (x , y) is

Options

  • `(Delta_2/Delta_1, Delta_3/Delta_1)`

  • `(Delta_3/Delta_1, Delta_2/Delta_1)`

  • `(Delta_1/Delta_2, Delta_1/Delta_3)`

  • `((-Delta_1)/Delta_2, (-Delta_1)/Delta_3)`

MCQ

Solution

`((-Delta_1)/Delta_2, (-Delta_1)/Delta_3)`

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Chapter 1: Applications of Matrices and Determinants - Exercise 1.4 [Page 22]

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Samacheer Kalvi Business Mathematics and Statistics [English] Class 12 TN Board
Chapter 1 Applications of Matrices and Determinants
Exercise 1.4 | Q 23 | Page 22
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