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Consider the system of equations x+y+z...

Consider the system of equations
x+y+z=5, x+2y+3z=9, x+3y+`lambda z=mu`
The sustem is called smart brilliant good and lazy according as it has solution unique solution infinitely many solution respectively .
The system is smart if

A

`lambdane5 "or" lambda=5 "and" mu =13`

B

`lambdane5 " ""and"" " mu =13`

C

`lambdane5 " ""and"" " mu ne13`

D

`lambdane5 or lambda" ""and"" " mu ne13`

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The correct Answer is:
A
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  • Consider the system of equations x+y+z=5, x+2y+3z=9, x+3y+ lambda z=mu The sustem is called smart brilliant good and lazy according as it has solution unique solution infinitely many solution respectively . The system is lazy if

    A
    `lambda ne 5 "or' lambda =5 " and" mu =13`
    B
    `lambda=5 " ""and"" " mu =13`
    C
    `lambda=5 " ""and"" " mu ne13`
    D
    `lambda ne 5 "or " lambda =5 " and mu ne 13`

  • Consider the system of equations x+y+z=5, x+2y+3z=9, x+3y+ lambda z=mu The sustem is called smart brilliant good and lazy according as it has solution unique solution infinitely many solution respectively . The system is good if

    A
    `lambdane5 or lambda" ""and"" " mu ne13`
    B
    `lambda=5 " ""and"" " mu =13`
    C
    `lambda=5 " ""and"" " mu ne13`
    D
    `lambdane5 "and" " " mu` is any real number

  • Consider the system of equations x+y+z=6 x+2y+3z=10 x+2y+lambdaz =mu the system has unique solution if

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    `lambda ne 3`
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    C
    `lambda =3 , mu ne 10`
    D
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