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99 Percentile Qs Bank for JEE MainMathematicsDeterminants

The value of ( | array cc ₅ 729 & ₃ 5 ₅ 27 & ₉ 25 array | ) ( | array ll ₃ 5 & ₂₇ 5 ₅ 9 & ₅ 9 array | ) is

Options

  1. A1
  2. B6
  3. C( ₅ 9 )
  4. D( ( ₃ 5 ) ( ₅ 81 ) )

Correct answer

D. ( ( ₃ 5 ) ( ₅ 81 ) )

Step-by-step solution

( aligned & | array ll ₅ 729 & ₃ 5 ₅ 27 & ₉ 25 array | | array ll ₃ 5 & ₂₇ 5 ₅ 9 & ₅ 9 array | & = | array ll 6 ₅ 3 & ₃ 5 3 ₅ 3 & ₃ 5 array | | array ll ₃ 5 & 1 3 ₃ 5 2 ₅ 3 & 2 ₅ 3 array | & =3 ₅ 3 ₃ 5 | array ll 2 & 1 1 & 1 array | 2 ₃ 5 ₅ 3 | array cc 1 & 1 / 3 1 & 1 array | & =6[2-1] [1- 1 3 ]=4 aligned ) ( ) Hence the options ( ₃ 5 ₅ 81= ( ₃ 5 ) (4 ₅ 3 )=4 ) Hence, option (d) is correct.

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