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AP EAMCET202021 Sep 2020Morning ShiftMathematicsDeterminantsActual

If ( (0, 2 ) ), then ( | array ccc ( + cosec )^2 & ( - cosec )^2 & 2020 ( + )^2 & ( - )^2 & 2020 ( + )^2 & ( - )^2 & 2020 array |= )

Options

  1. A1
  2. B-1
  3. C0
  4. D2020

Correct answer

C. 0

Step-by-step solution

Given determinate, where ( (0, 2 ) ) is ( = | array ccc ( + cosec )^2 & ( - cosec )^2 & 2020 ( + )^2 & ( - )^2 & 2020 ( + )^2 & ( - )^2 & 2020 array | ) On applying (C₁ C₁-C₂ ), we get ( = | array ccc 4 & ( - cosec )^2 & 2020 4 & ( - )^2 & 2020 4 & ( - )^2 & 2020 array | ) ( ) Elements of columns (C₁ ) and (C₂ ) are perportional, so ( =0 ) Hence, option (c) is correct.

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