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99 Percentile Qs Bank for JEE MainMathematicsDeterminants

| array ccc e & e^2 & e^3 e^2 & e^3 & e^4 e^3 & e^4 & e^5 array | is equal to :

Options

  1. A0
  2. B1
  3. C4 e
  4. D5 e

Correct answer

A. 0

Step-by-step solution

| array ccc e & e^2 & e^3 e^2 & e^3 & e^4 e^3 & e^4 & e^5 array |= | array ccc e & 2 e & 3 e 2 e & 3 e & 4 e 3 e & 4 e & 5 e array |= | array lll 1 & 2 & 3 2 & 3 & 4 3 & 4 & 5 array |= | array lll|l 1 & 1 & 1 2 & 1 & 1 3 & 1 & 1 array | C₂ C₂-C₁=0 ( Two columns are identical )

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