JEE Math Practice Question
Consider the system of linear equations $$-$$x + y + 2z = 0 3x $$-$$ ay + 5z = 1 2x $$-$$ 2y $$-$$ az = 7 Let S1 be the set of all a$$\in$$R for which the system is inconsistent and S2 be the set of all a$$\in$$R for which the system has infinitely many solutions. If n(S1) and n(S2) denote the number of elements in S1 and S2 respectively, then
- A.n(S1) = 2, n(S2) = 2
- B.n(S1) = 1, n(S2) = 0
- C.n(S1) = 2, n(S2) = 0
- D.n(S1) = 0, n(S2) = 2
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