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MHT CET20192 May 2019Morning ShiftMathematicsThree Dimensional GeometryActual

If the line passes through the points P 6 , - 1 , 2 , Q 8 , - 7 , 2 λ and R 5 , 2 , 4 , then value of λ is ________

Options

  1. A- 3
  2. B0
  3. C- 1
  4. D2

Correct answer

C. - 1

Step-by-step solution

Since, P 6 , - 1 , 2 and Q 8 , - 7 , 2 λ and R 5 , 2 , 4 a re collinear then, direction ratios of P R 1 , - 3 , - 2 and P Q - 2 , 6 , 2 - 2 λ are proportional, then 1 - 2 = - 2 2 - 2 λ ⇒ 1 - λ = 2 ⇒ λ = - 1

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