If the system of linear equations array l 2 x+2 a y+a z=0 2 x+3 b y+b z=0 2 x+4 c y+c z=0…
Mathematics · JEE Main · NTA Exams — Matrices and Determinants
If the system of linear equations
\[\begin{array}{l} 2 x+2 a y+a z=0 \\ 2 x+3 b y+b z=0 \\ 2 x+4 c y+c z=0 \end{array}\]
where \(a, b, c \in R\) are non-zero and distinct has a non-zero solution, then
- a b, c are in A.P.
- \(\frac{1}{a}, \frac{1}{b}, \frac{1}{c}\) are in A.P.
- a + b + c = 0
- a, b, c are in G.P.
Answer
(B) 1 a , 1 b , 1 c are in A.P.
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