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Consider the system of linear equations ...

Consider the system of linear equations
` - x + y + 2z = 0`
`3x - ay + 5z = 1`
`2x - 2y - az = 7`
Let `S_1` be the set of all `a in R` for which the system is inconsistent and `S_2` be the set of all `a in R` for which the system has infinitely many solutions. If `n(S_1) and n(S_2)` denote the number of elements in `S_1 and S_2` respectively, then

A

`n(S_1) = 0, n(S_2 ) = 2`

B

`n(S_1 ) = 2, n (S_2) = 0`

C

`n(S_1) = 2, n(S_2) = 2`

D

`n(S_1) = 1, n(S_2) = 0`

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JEE MAINS PREVIOUS YEAR-JEE MAINS 2021-Mathematics Section A
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