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QJEEM19Ma24de: JEE Main 2019 Mathematics - Class 12 JEEM19Ma24de Solution: An ordered pair ( , ) for which the system of linear equations…

An ordered pair ( α\alpha , β\beta ) for which the system of linear equations
(1 + α\alpha ) x + β\beta y + z = 2
α\alpha x + (1 + β\beta )y + z = 3
α\alpha x + β\beta y + 2z = 2
has a unique solution, is :

Multiple Choice Options

  • A (–3, 1)
  • B (1, –3)
  • C (–4, 2)
  • D (2, 4)

Step-by-Step Verified Solution

For unique solution

Δ\Delta ≠\ne 0 ⇒\Rightarrow |1+αβ1α1+β1αβ2|≠0

|1−1001−1αβ2|≠0⇒α+β≠−2

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