# Let S be the set of all real values of ‘a’ for which the following system of linear equationsis consistent. Then the set S is : Option 1) an empty set Option 2) equal to R Option 3) equal to R − {1} Option 4) equal to  {1}

As we learnt in

Cramer's rule for solving system of linear equations -

When   and  ,

then  the system of equations has infinite solutions.

- wherein

and

are obtained by replacing column 1,2,3 of  by   column

Option 1)

an empty set

This option is incorrect.

Option 2)

equal to R

This option is incorrect.

Option 3)

equal to R − {1}

This option is correct.

Option 4)

equal to  {1}

This option is incorrect.

N

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