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BITSAT2018MathematicsThree Dimensional GeometryActual

Line x + 1 λ = y - 1 = z + 2 - 4 is perpendicular to 2 x + 2 y - 8 z + 5 = 0 , then λ is

Options

  1. A1
  2. B- 4
  3. C- 5
  4. D- 3

Correct answer

A. 1

Step-by-step solution

When line x - x 1 a 1 = y - y 1 b 1 = z - z 1 c 1 is perpendicular to plane a x + b y + c z + d = 0 , then a 1 a = b 1 b = c 1 c ∴   λ 2 = 1 2 = - 4 - 8 ⇒ λ = 1 Hence, option (a) is correct.

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