🛠️ JEE➗ Maths

Consider the following system of equations: \(\begin{array}{l}x+2 y-3 z=a \\2 x+6 y-11 z=b \\x-2 y+7 z=c\end{array}\) wh…

Q1

Consider the following system of equations:

\(\begin{array}{l}x+2 y-3 z=a \\2 x+6 y-11 z=b \\x-2 y+7 z=c\end{array}\)

where \( \mathrm{a}, \mathrm{b} \) and \( c \) are real constants. Then the system of equations:

[JEE Main 2021, 26 Feb (Shift 2)]

a

has no solution for all a, b and \( c \)

b

has a unique solution when \( 5 a=2 b+c \)

c

has infinite number of solutions when \( 5 a=2 b+c \)

d

has a unique solution for all a, b and \( c \)

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