Download the app

Questions  

Number of real values of λ for which the system of equations λ+3x+λ+2y+z=0, 3x+λ+3y+z=0, 2x+3y+z=0 possess a non-trivial solution is  

Remember concepts with our Masterclasses.

80k Users
60 mins Expert Faculty Ask Questions
a
0
b
1
c
2
d
Infinite

Ready to Test Your Skills?

Check Your Performance Today with our Free Mock Tests used by Toppers!

detailed solution

Correct option is A

The necessary condition for a homogeneous system of equations to have a non-trivial solution is Δ=0⇒λ+3λ+213λ+31231=0     R1→R1-R2, R2→R2-R3⇒λ-101λ0231=0 ⇒λ(λ-0)+1(1-0)+03-2λ=0⇒λ2+1=0There is no real value for λ


Similar Questions

If the system of equations xy+z=0, kxy+3z=0, x+2y+3z=0 has non trivial solution then K=

 

 


whats app icon
phone icon