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ExamsJEE MainGeneral

Let the position vectors of the points A, B, C and D be k ˆ 2 j ˆ 5 i ˆ 5 λ + + , k ˆ 3 j ˆ 2 i ˆ + + , k ˆ 4 j ˆ i ˆ 2 + λ + − and k ˆ 6 j ˆ 5 i ˆ + + − . Let the set S = { λ ∈ : the points A, B, C and D are coplanar). The ∑ ∈ λ + λ S 2 ) 2 ( is equal to-

  1. 25
  2. 2 37
  3. 13
  4. 41

Correct answer: 41

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