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JEE Main 2019 · 12 Jan · Shift I

JEE Main 2019 Mathematics question on Matrices and Determinants

An ordered pair (α,β)(\alpha, \beta) for which the system of linear equations
<br>(1+α)x+βy+z=2<br><br>(1 + \alpha)x + \beta y + z = 2<br>
<br>αx+(1+β)y+z=3<br><br>\alpha x + (1 + \beta)y + z = 3<br>
<br>αx+βy+2z=2<br><br>\alpha x + \beta y + 2z = 2<br>
has a unique solution, is
  1. A.
    (2,4)(2, 4)
  2. B.
    (−4,2)(-4, 2)
  3. C.
    (1,−3)(1, -3)
  4. D.
    (−3,1)(-3, 1)
Show answer

Correct option: A

[JEE Main 2019 · 12 Jan · Shift I]

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