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If |x+1x+2x+ax+2x+3x+bx+3x+4x+c| = 0, then a, b, care in -

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Question

If `|(x + 1, x + 2, x + a),(x + 2, x + 3, x + b),(x + 3, x + 4, x + c)|` = 0, then a, b, care in

Options

  • A.P

  • G.P

  • H.P

  • None of these

MCQ

Solution

A.P

Explanation:

Apply R1 = R1 + R3 – 2R2

`|(0, 0, a + c - 2b),(x + 2, x + 3, x + b),(x + 3, x + 4, x + c)|` = 0

⇒ a + c – 2b = 0

⇒ a, b, c are in A.P

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