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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If the system of equations
$ 11 x+y+\lambda z=-5 $
$ 2 x+3 y+5 z=3 $
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$ 11 x+y+\lambda z=-5 $
$ 2 x+3 y+5 z=3 $
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has infinitely many solutions, then $\lambda^4-\mu$ is equal to :
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