JEE Exam  >  JEE Questions  >  Consider the system of equationsx – 2y ... Start Learning for Free
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.
View all questions of this test
Explore Courses for JEE exam

Similar JEE Doubts

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?
Question Description
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?.
Solutions 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? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of 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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an ample number of questions to practice 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? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev