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Consider the system of equations
3x − y + 4z = 3, x + 2y − 3z = −2, 6x + 5y + λz = −3.Where Then
  • a)
    The system of equations has unique solution for exactly 7 integer values of λ
  • b)
    The system of equations has unique solution for all λ satisfying the given condition
  • c)
    The system of equation has unique solution for some values of λ and no solution for some values of λ
  • d)
    The system of equation has unique solution for some values of λ and infinite solutions for some values of λ
Correct answer is option 'A,B'. Can you explain this answer?
Most Upvoted Answer
Consider the system of equations3x − y + 4z = 3, x + 2y − 3z = −2, 6x...
Given system of equations are
So, Discriminant △⩾0
Also for given system of linear equations
∴ The system of linear equation has unique solution for exactly 7 integer values of λ.
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Consider the system of equations3x − y + 4z = 3, x + 2y − 3z = −2, 6x + 5y + λz = −3.Where Thena)The system of equations has unique solution for exactly 7 integer values of λb)The system of equations has unique solution for all λ satisfying the given conditionc)The system of equation has unique solution for some values of λ and no solution for some values of λd)The system of equation has unique solution for some values of λ and infinite solutions for some values of λCorrect answer is option 'A,B'. Can you explain this answer?
Question Description
Consider the system of equations3x − y + 4z = 3, x + 2y − 3z = −2, 6x + 5y + λz = −3.Where Thena)The system of equations has unique solution for exactly 7 integer values of λb)The system of equations has unique solution for all λ satisfying the given conditionc)The system of equation has unique solution for some values of λ and no solution for some values of λd)The system of equation has unique solution for some values of λ and infinite solutions for some values of λCorrect answer is option 'A,B'. 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 Consider the system of equations3x − y + 4z = 3, x + 2y − 3z = −2, 6x + 5y + λz = −3.Where Thena)The system of equations has unique solution for exactly 7 integer values of λb)The system of equations has unique solution for all λ satisfying the given conditionc)The system of equation has unique solution for some values of λ and no solution for some values of λd)The system of equation has unique solution for some values of λ and infinite solutions for some values of λCorrect answer is option 'A,B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the system of equations3x − y + 4z = 3, x + 2y − 3z = −2, 6x + 5y + λz = −3.Where Thena)The system of equations has unique solution for exactly 7 integer values of λb)The system of equations has unique solution for all λ satisfying the given conditionc)The system of equation has unique solution for some values of λ and no solution for some values of λd)The system of equation has unique solution for some values of λ and infinite solutions for some values of λCorrect answer is option 'A,B'. Can you explain this answer?.
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Here you can find the meaning of Consider the system of equations3x − y + 4z = 3, x + 2y − 3z = −2, 6x + 5y + λz = −3.Where Thena)The system of equations has unique solution for exactly 7 integer values of λb)The system of equations has unique solution for all λ satisfying the given conditionc)The system of equation has unique solution for some values of λ and no solution for some values of λd)The system of equation has unique solution for some values of λ and infinite solutions for some values of λCorrect answer is option 'A,B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Consider the system of equations3x − y + 4z = 3, x + 2y − 3z = −2, 6x + 5y + λz = −3.Where Thena)The system of equations has unique solution for exactly 7 integer values of λb)The system of equations has unique solution for all λ satisfying the given conditionc)The system of equation has unique solution for some values of λ and no solution for some values of λd)The system of equation has unique solution for some values of λ and infinite solutions for some values of λCorrect answer is option 'A,B'. Can you explain this answer?, a detailed solution for Consider the system of equations3x − y + 4z = 3, x + 2y − 3z = −2, 6x + 5y + λz = −3.Where Thena)The system of equations has unique solution for exactly 7 integer values of λb)The system of equations has unique solution for all λ satisfying the given conditionc)The system of equation has unique solution for some values of λ and no solution for some values of λd)The system of equation has unique solution for some values of λ and infinite solutions for some values of λCorrect answer is option 'A,B'. Can you explain this answer? has been provided alongside types of Consider the system of equations3x − y + 4z = 3, x + 2y − 3z = −2, 6x + 5y + λz = −3.Where Thena)The system of equations has unique solution for exactly 7 integer values of λb)The system of equations has unique solution for all λ satisfying the given conditionc)The system of equation has unique solution for some values of λ and no solution for some values of λd)The system of equation has unique solution for some values of λ and infinite solutions for some values of λCorrect answer is option 'A,B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Consider the system of equations3x − y + 4z = 3, x + 2y − 3z = −2, 6x + 5y + λz = −3.Where Thena)The system of equations has unique solution for exactly 7 integer values of λb)The system of equations has unique solution for all λ satisfying the given conditionc)The system of equation has unique solution for some values of λ and no solution for some values of λd)The system of equation has unique solution for some values of λ and infinite solutions for some values of λCorrect answer is option 'A,B'. Can you explain this answer? tests, examples and also practice JEE tests.
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