Let a , λ, μ ∈ R . Consider the system of linear equations ax + 2 y = λ, 3 x – 2 y = μ…
Mathematics · JEE Advanced · NTA Exams — Matrices and Determinants
Let a, λ, μ ∈ R. Consider the system of linear equations
ax + 2y = λ, 3x – 2y = μ. Which of the following
statement(s) is(are) correct?
ax + 2y = λ, 3x – 2y = μ. Which of the following
statement(s) is(are) correct?
- If a = –3, then the system has infinitely many solutions for all values of l and m.
- If a ≠ –3, then the system has a unique solution for all values of l and m.
- If l + m = 0, then the system has infinitely many solutions for a = –3 .
- If l + m ≠ 0, then the system has no solution for
a = –3 .
Answer
(D) If l + m ≠ 0, then the system has no solution for a = –3 .
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- For 3 × 3 matrices M and N , which of the following statement(s) is (are) not correct?
- The determinant | array ccc x p+y & x & y y p+z & y & z 0 & x p+y & y p+z array |=0 , if
- Let | M | denote the determinant of a square matrix M . Let g: [0, 2 ] R be the function defined by g( heta)=…
- Elementary Transformation of a matrix : The following operation on a matrix are called elementary operations…
- If a 2 + b 2 + c 2 = 1, then | array ccc a^ 2 + (b^ 2 +c^ 2 ) & b(1- ) & a(1- ) a(1- ) & b^ 2 + (c^ 2 +a^ 2 )…
- Let 0 (x, )= | array ccc x & & - & -x & 1 & 1 & x array | then
- Let M= [ array lll 0 & 1 & a 1 & 2 & 3 3 & b & 1 array ] and adj M= [ array ccc -1 & 1 & -1 8 & -6 & 2 -5 & 3…
- Let M = ( a ij ), i , j ∈ 1, 2, 3 , be the 3 × 3 matrix such that a ij = 1 if j + 1 is divisible by i …
More Matrices and Determinants questions · Browse all practice questions