BITSAT SERIES Mathematics
System Of Linear Equations
7 previous year questions.
Volume: 7 Ques
Yield: Medium
High-Yield Trend
1
2026 1
2025 1
2021 1
2020 1
2017 1
2016 1
2012 Chapter Questions 7 MCQs
01
PYQ 2012
medium
mathematics ID: bitsat-2
The equations and are:
1
consistent with unique solution
2
inconsistent
3
consistent with infinitely many solutions
4
None of the above
02
PYQ 2016
medium
mathematics ID: bitsat-2
Let alpha₁,alpha₂ and beta₁,beta₂ be the roots of ax²+bx+c=0 and px²+qx+r=0 respectively. If the system
alpha₁ x+alpha₂ y=0, beta₁ y+beta₂ z=0
has a non-trivial solution, then
1
2
3
4
None of these
03
PYQ 2017
medium
mathematics ID: bitsat-2
If a system of equations
has a non-zero solution, then
has a non-zero solution, then
1
0
2
1
3
2
4
3
04
PYQ 2020
medium
mathematics ID: bitsat-2
Let alpha₁,alpha₂ and beta₁,beta₂ be the roots of
ax²+bx+c=0 and px²+qx+r=0
respectively. If the system
alpha₁ y+alpha₂ z=0, beta₁ y+beta₂ z=0
has a non-trivial solution, then
1
2
3
4
None of these
05
PYQ 2021
medium
mathematics ID: bitsat-2
If a system of equations
-ax+y+z=0, x-by+z=0, x+y-cz=0 (a,b,c\ne1)
has a non-zero solution, then (1)/(1+a)+(1)/(1+b)+(1)/(1+c) is
1
0
2
1
3
2
4
3
06
PYQ 2025
medium
mathematics ID: bitsat-2
Solve the system of equations: , .
1
2
3
4
07
PYQ 2026
medium
mathematics ID: bitsat-2
If the system of linear equations , , (where ) has infinitely many solutions, then is equal to:
1
-3
2
3
3
6
4
9