Let a,\lambda,m∊R.Consider the system of the linear equation ax+y=\lambda 3x-2y=\mu Which of the following statement(s) is(are) correct ? [JEE Adv 2016 P2]

If a = –3, then the system has infinitely many solutions for all values of \lambda and \mu

If a≠ –3, then the system has a unique solution for all values of \lambda and \mu

If \lambda+\mu=0,then the system has infinitely many solutions for a= –3

If \lambda+\mu\neq0 then the system has no solution for a=–3

JEE Advanced 2016 Paper 2

Section: Mathematics

Question : 49 of 54

Marks: +1, -0

Let a,λ,m∊R.Consider the system of the linear equation
ax+y=λ
3x−2y=μ
Which of the following statement(s) is(are) correct ?

[JEE Adv 2016 P2]

If a = –3, then the system has infinitely many solutions for all values of λ and μ
If a≠ –3, then the system has a unique solution for all values of λ and μ
If λ+μ=0,then the system has infinitely many solutions for a=–3
If λ+μ≠0 then the system has no solution for a=–3

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