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Let  Consider th e system of lin ear equations
ax + 2y = λ
3x – 2y = μ
Which of the following statement(s) is (are) correct?
  • a)
    If a = –3, then the system has infinitely many solutions for all values of λ and μ .
  • b)
    If a ≠ –3, then the system has a unique solution for all values of λ and μ .
  • c)
    If λ + μ = 0, then the system has infinitely man y solutions for a = –3.
  • d)
    If λ + μ ≠ 0, then the system has no solution for a = –3.
Correct answer is option 'B,C,D'. Can you explain this answer?
Verified Answer
Let Consider th e system of lin ear equationsax + 2y = λ3x &nd...
ax + 2y = λ
3x – 2y = μ
For unique solution, 
∴ (b) is the correct option.
For infinite many solutions and a = – 3

∴ (c) is the correct option.

⇒ system has no solution.
⇒ (d) is the correct option.
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Let Consider th e system of lin ear equationsax + 2y = λ3x – 2y = μWhich of the following statement(s) is (are) correct?a)If a = –3, then the system has infinitely many solutions for all values of λ and μ .b)If a ≠ –3, then the system has a unique solution for all values of λ and μ .c)If λ + μ = 0, then the system has infinitely man y solutions for a = –3.d)If λ + μ ≠ 0, then the system has no solution for a = –3.Correct answer is option 'B,C,D'. Can you explain this answer?
Question Description
Let Consider th e system of lin ear equationsax + 2y = λ3x – 2y = μWhich of the following statement(s) is (are) correct?a)If a = –3, then the system has infinitely many solutions for all values of λ and μ .b)If a ≠ –3, then the system has a unique solution for all values of λ and μ .c)If λ + μ = 0, then the system has infinitely man y solutions for a = –3.d)If λ + μ ≠ 0, then the system has no solution for a = –3.Correct answer is option 'B,C,D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Let Consider th e system of lin ear equationsax + 2y = λ3x – 2y = μWhich of the following statement(s) is (are) correct?a)If a = –3, then the system has infinitely many solutions for all values of λ and μ .b)If a ≠ –3, then the system has a unique solution for all values of λ and μ .c)If λ + μ = 0, then the system has infinitely man y solutions for a = –3.d)If λ + μ ≠ 0, then the system has no solution for a = –3.Correct answer is option 'B,C,D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let Consider th e system of lin ear equationsax + 2y = λ3x – 2y = μWhich of the following statement(s) is (are) correct?a)If a = –3, then the system has infinitely many solutions for all values of λ and μ .b)If a ≠ –3, then the system has a unique solution for all values of λ and μ .c)If λ + μ = 0, then the system has infinitely man y solutions for a = –3.d)If λ + μ ≠ 0, then the system has no solution for a = –3.Correct answer is option 'B,C,D'. Can you explain this answer?.
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