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Black Book Advanced Problems in MathematicsMathematicsDeterminants

Let f(a, b) = vmatrix a & a^2 & 0 1 & (2a + b) & (a + b)^2 0 & 1 & (2a + 3b) vmatrix then

Options

  1. A(2a + b) is a factor of f(a, b)
  2. B(a + 2b) is a factor of f(a, b)
  3. C(a + b) is a factor of f(a, b)
  4. Da is a factor of f(a, b) Correct Options: b, c, d

Correct answer

A. (2a + b) is a factor of f(a, b)

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