GATE 2022 ME Question 46: System of Linear Equations with Parameter 𝛼 | Non-Trivial Solutions

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Mechanical Engineering > GATE 2022 SET-1 > Linear Algebra

The system of linear equations in real (x, y) given by

involves a real parameter 𝛼 and has infinitely many non-trivial solutions for special value(s) of 𝛼. Which one or more among the following options is/are non-trivial solution(s) of (𝑥,𝑦) for such special value(s) of 𝛼?

A

x = 2, y = -2

B

x = -1, y = 4

C

x = 1, y = 1

D

x = 4, y = -2

Correct : a, b

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