🛠️ JEE➗ Maths

The following system of linear equations \(\begin{aligned} & 7 x+6 y-2 z=0 \\ & 3 x+4 y+2 z=0 \\ & x-2 y-6 z…

Q1

The following system of linear equations
\(\begin{aligned} & 7 x+6 y-2 z=0 \\ & 3 x+4 y+2 z=0 \\ & x-2 y-6 z=0, \text { has }\end{aligned}\)

[JEE Main 2020, 9 Jan (Shift 2)]

a

Infinitely many solution, \((x, y, z)\) satisfying \(y=2 z\)

b

Infinitely many solution, \((x, y, z)\) satisfying \(x=2 z\)

c

Only the trivial solution

d

None of these

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