YESPYQ Start Practice
🛠️ JEE➗ Maths

Consider the following system of equations: \[ \begin{aligned} & x+2 y-3 z=a \\ & 2 x+6 y-11 z=b \\ & x-2 y+…

Q1

Consider the following system of equations:
\[
\begin{aligned}
& x+2 y-3 z=a \\
& 2 x+6 y-11 z=b \\
& x-2 y+7 z=c
\end{aligned}
\]
where \(a, b\) and \(c\) are real constants. Then the system of equations:

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

a

\(
\text { Has no solution for all } a, b \text { and } c
\)

b

\(
\text { Has a unique solution when } 5 a=2 b+c
\)

c

\(
\text { Has infinite number of solutions when } 5 a=2 b+c
\)

d

\(
\text { Has a unique solution for all } a, b \text { and } c
\)

🔒
Answer & explanation — PYQ Pass

Options are free to see. Unlock the correct answer and full explanation with Pass.

Unlock · ₹149
← Previous questionNext question →

Practice more JEE Maths PYQs

See every question on Determinants, or browse the full JEE question bank.

See all questions on Determinants →