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MHT CET2019Morning ShiftMathematicsStraight LinesActual

a and b are non-collinear vectors. If c = x - 2 a + b and d = 2 x + 1 a - b are collinear vectors, then the value of x = …

Options

  1. A1 2
  2. B1 4
  3. C1 5
  4. D1 3

Correct answer

D. 1 3

Step-by-step solution

Given, c = x - 2 a + b and d = 2 x + 1 a - b are collinear ∴ c = λ d ⇒ x - 2 a + b = λ 2 x + 1 a - b ⇒ x - 2 2 x + 1 = 1 - 1 = λ ⇒ 2 x + 1 = - x + 2 ⇒ 3 x = 1 ⇒ x = 1 3

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