Question:
If the system of equations x + 4ay + az = 0 , x + 3by + bz = 0 and x + 2cy + cz = 0 have a non-zero solution,then a, b, c are in
If the system of equations x + 4ay + az = 0 , x + 3by + bz = 0 and x + 2cy + cz = 0 have a non-zero solution,then a, b, c are in
Options:
- H.M
- A.P.
- H.P.
- G.P.
- H.M
- A.P.
- H.P.
- G.P.
Correct Answer: c)
Explanation:
1 4a a
i The system of linear equation has non tri√ial solutionif: 1 3b b=0
1 2 ¢
‘ 1 4a a
=0 3b—4a b—a=0 =bc+ab—2ac=0=2=21+21 Thus,a,b,carein
‘ 0 2c—4a c—a
H.P.
38
I ©@o.L0
1 4a a
i The system of linear equation has non tri√ial solutionif: 1 3b b=0
1 2 ¢
‘ 1 4a a
=0 3b—4a b—a=0 =bc+ab—2ac=0=2=21+21 Thus,a,b,carein
‘ 0 2c—4a c—a
H.P.
38
I ©@o.L0