JEE Math Practice Question
For the system of equations $$x+y+z=6$$ $$x+2 y+\alpha z=10$$ $$x+3 y+5 z=\beta$$, which one of the following is NOT true?
- A.System has a unique solution for $$\alpha=3,\beta\ne14$$.
- B.System has infinitely many solutions for $$\alpha=3, \beta=14$$.
- C.System has no solution for $$\alpha=3, \beta=24$$.
- D.System has a unique solution for $$\alpha=-3, \beta=14$$.
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