Consider system of equations $ x + y -az = 1$ ; $2x + ay + z = 1$ ; $ax + y -z = 2$
Consider system of equations $ x + y -az = 1$ ; $2x + ay + z = 1$ ; $ax + y -z = 2$
- A
for $a \ne 1$ system has unique solution.
- B
if system has no solution then $'a'$ must be $1$ .
- C
for $a \in \left\{ {1,\frac{{ - 1 \pm \sqrt 5 }}{2}} \right\}$ , system has no solution.
- D
for $a = \frac{{ - 1 \pm \sqrt 5 }}{2}$ , system has infinite number of solutions.
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$(A)$ determinant of $\left( M ^2+ MN ^2\right)$ is $0$
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- [IIT 2014]
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