upteto17 q120

0. For three non-zero real numbers a, b, c if , then the value of k is,

  • Option : B
  • Explanation : (B)

    = λ (Let)
    ∴ a = 2λ, b = 3λ, c = 4λ .....(i)
    and 2a - 3b + 5c = λk .....(ii)
    From Eqs. (i) and (ii), we get
    2(2λ) - 3(3λ) + 5(4λ) = λk
    ⇒ λ(4 - 9 + 20) = λk ⇒ k = 15
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