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UPSC NDA 2 2016 Mathematics Solved Paper

Consider the following for the next two (02) items that follow:

For the system of linear equations

2x+3y+5z=9,7x+3y-2z=8

and

2x+3y+\lambda z=\mu

[NDA II 2016]

Question : 36 of 120

Marks: +1, -0

Solution:

For unique solution :

\left|A\right|\neq 0 \Rightarrow 2(3\lambda+6)-3(7\lambda+4)+5(21-6)\neq 0

\Rightarrow \lambda \neq 5

and

\mu

can have any real value

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