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Consider the system of equations
x – 2y + 3z = –1
–x + y – 2z = k
x – 3y + 4z = 1
STATEMENT - 1 : The system of equations has no solution for k ¹ 3   and
STATEMENT-2 : The determinant   k ≠ 3 .
  • a)
    STATEMENT - 1 is True, STATEMENT - 2 is True; STATEMENT - 2 is a correct explanation for STATEMENT - 1
  • b)
    STATEMENT - 1 is True, STATEMENT - 2 is True; STATEMENT - 2 is NOT a correct explaination for STATEMENT - 1
  • c)
    STATEMENT - 1 is True, STATEMENT - 2 is False
  • d)
    STATEMENT - 1 is False, STATEMENT - 2 is True
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Consider the system of equationsx – 2y + 3z = –1–x +...
The given equations are
x – 2y + 3z = – 1
– x + y – 2z = k
x – 3y + 4z =1
∴ If k ≠ 3 , the system has no solutions.
Hence statement-1 is true and statement-2 is a correct explanation for statement - 1.
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Consider the system of equationsx – 2y + 3z = –1–x + y – 2z = kx – 3y + 4z = 1STATEMENT - 1 : The system of equations has no solution for k ¹ 3 andSTATEMENT-2 : The determinant k ≠ 3 .a)STATEMENT - 1 is True, STATEMENT - 2 is True; STATEMENT - 2 is a correct explanation for STATEMENT - 1b)STATEMENT - 1 is True, STATEMENT - 2 is True; STATEMENT - 2 is NOT a correct explaination for STATEMENT - 1c)STATEMENT - 1 is True, STATEMENT - 2 is Falsed)STATEMENT - 1 is False, STATEMENT - 2 is TrueCorrect answer is option 'A'. Can you explain this answer?
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Consider the system of equationsx – 2y + 3z = –1–x + y – 2z = kx – 3y + 4z = 1STATEMENT - 1 : The system of equations has no solution for k ¹ 3 andSTATEMENT-2 : The determinant k ≠ 3 .a)STATEMENT - 1 is True, STATEMENT - 2 is True; STATEMENT - 2 is a correct explanation for STATEMENT - 1b)STATEMENT - 1 is True, STATEMENT - 2 is True; STATEMENT - 2 is NOT a correct explaination for STATEMENT - 1c)STATEMENT - 1 is True, STATEMENT - 2 is Falsed)STATEMENT - 1 is False, STATEMENT - 2 is TrueCorrect answer is option 'A'. 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 equationsx – 2y + 3z = –1–x + y – 2z = kx – 3y + 4z = 1STATEMENT - 1 : The system of equations has no solution for k ¹ 3 andSTATEMENT-2 : The determinant k ≠ 3 .a)STATEMENT - 1 is True, STATEMENT - 2 is True; STATEMENT - 2 is a correct explanation for STATEMENT - 1b)STATEMENT - 1 is True, STATEMENT - 2 is True; STATEMENT - 2 is NOT a correct explaination for STATEMENT - 1c)STATEMENT - 1 is True, STATEMENT - 2 is Falsed)STATEMENT - 1 is False, STATEMENT - 2 is TrueCorrect answer is option 'A'. 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 equationsx – 2y + 3z = –1–x + y – 2z = kx – 3y + 4z = 1STATEMENT - 1 : The system of equations has no solution for k ¹ 3 andSTATEMENT-2 : The determinant k ≠ 3 .a)STATEMENT - 1 is True, STATEMENT - 2 is True; STATEMENT - 2 is a correct explanation for STATEMENT - 1b)STATEMENT - 1 is True, STATEMENT - 2 is True; STATEMENT - 2 is NOT a correct explaination for STATEMENT - 1c)STATEMENT - 1 is True, STATEMENT - 2 is Falsed)STATEMENT - 1 is False, STATEMENT - 2 is TrueCorrect answer is option 'A'. Can you explain this answer?.
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