ISRO Mechanical & Aerospace 2009 - Question 77

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The value of $\lambda$ for which the equations $2x - 3y = 3$, $3x - 2y = 1$, $4x - \lambda y = 2$ are consistent is

  • A. 3 or 6
  • B. 1 or 3
  • C. 2 or 6
  • D. 2 or 3

Answer: A. 3 or 6

Explanation: Consistent implies determinant of augmented matrix is zero, or solving first two gives x,y then satisfy third.

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