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JEE Maths Quiz on System of Linear Equations
JEE Maths Quiz on System of Linear Equations : In this article you will get to Online test for JEE Main, JEE Advanced, UPSEE, WBJEE and other engineering entrance examinations that will help the students in their preparation. These tests are free of cost and will useful in performance and inculcating knowledge. In this post we are proving you quiz on System of Linear Equations, based on previous year paper.
Quiz on System of Linear Equations
Q1. If S is the set of distinct values of ‘b’ for which the following system of linear equations x + y + z = 1 x + ay + z = 1 ax + by + z = 0 has no solution, then S is :
a) an empty set
b) an infinite set
c) a singleton
d) a finite set containing two or more elements
c) a singleton
Q2. If system of linear equations
x + y + z = 6
x + 2y + 3z = 10 and
3x + 2y + λz = μ
has more than two solutions, then μ − λ^{2} is equal to ________.
a) 13
b) 17
c) 15
d) 11
a) 13
Q3. If x = a, y = b, z = c is a solution of the system of linear equations
x + 8y + 7z = 0
9x + 2y + 3z = 0
x + y + z = 0
such that the point (a, b, c) lies on the plane x + 2y + z = 6, then 2a + b + c equals :
a) 0
b) 1
c) 1
d) 2
b) 1
Q4. The number of real values of λ for which the system of linear equations
2x + 4y − λz = 0
4x + λy + 2z = 0
λx + 2y + 2z = 0
has infinitely many solutions, is :
a) 0
b) 1
c) 2
d) 3
b) 1
Q5. If the system of linear equations
x + ky + 3z = 0
3x + ky – 2z = 0 and
2x + 4y – 3z = 0
has a non zero solution (x, y, z) then xz/y^{2} is equal to
a) 10
b) 10
c) 30
d) 30
b) 10
Q6. The following system of linear equations
7x + 6y − 2z = 0 ,
3x + 4y + 2z = 0
x − 2y − 6z = 0, has
a) infinitely many solutions, (x, y, z) satisfying y = 2z
b) infinitely many solutions, (x, y, z) satisfying x = 2z
c) no solution
d) only the trivial solution
b) infinitely many solutions, (x, y, z) satisfying x = 2z
Q7. For which of the following ordered pairs (μ, δ), the system of linear equations
x + 2y + 3z = 1
3x + 4y + 5z = μ
4x + 4y + 4z = δ
is inconsistent?
a) (4, 6)
b) (3, 4)
c) (1, 0)
d) (4, 3)
d) (4, 3)
Q8. If the system of linear equations
2x + 2ay + az = 0
2x + 3by + bz = 0 and
2x + 4cy + cz = 0,
Where a, b, c Є R are nonzero and distinct; has nonzero solution, then
a) a + b + c = 0
b) a, b, c are in A.P.
c) 1/a, 1/b, 1/c are in A.P.
d) a, b, c are in G.P.
c) 1/a, 1/b, 1/c are in A.P.
Q9. The system of linear equations
λx + 2y + 2z = 5
2λx + 3y + 5z = 8
4x + λy + 6z = 10 has:
a) no solution when λ = 2
b) infinitely many solutions when λ = 2
c) no solution when λ = 8
d) a unique solution when λ = 8
a) no solution when λ = 2
Q10. Consider the system of equations x + y + z = 1, 2x + 3y + 2z = 1, 2x + 3y + (a^{2} – 1)z = a + 1 then
a) System has a unique solution for a = √3
b) System is inconsistence for a = √3
c) System is inconsistence for a = 4
d) System is inconsistence for a = 3
b) System is inconsistence for a = √3
Syllabus and Previous Year Papers 

Chemistry Syllabus for NEET & AIIMS Exams  Click Here 
Chemistry Syllabus for JEE Mains & Advanced  Click Here 
Chapter Wise NEET Chemistry Syllabus  Click Here 
Physics Syllabus for NEET & AIIMS Exams  Click Here 
Physics Syllabus for JEE Mains & Advanced  Click Here 
Chapter Wise NEET Physics Syllabus  Click Here 
Biology Syllabus for NEET & AIIMS Exams  Click Here 
Chapter Wise NEET Biology Syllabus  Click Here 
Maths Syllabus for JEE Mains & Advanced  Click Here 
Download NEET Previous Year Question Papers with Solution  Click Here 


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