Download the app

Questions  

 x,y,znot all zeros and the equationsx+y+z=0,(1+a)x+(2+a)y8z=0,x(1+a)y+(2+a)z=0 have non-trivial solution. Then a =

Remember concepts with our Masterclasses.

80k Users
60 mins Expert Faculty Ask Questions
a
2+15
b
3±15
c
15
d
−5±22

Ready to Test Your Skills?

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

detailed solution

Correct option is D

The condition for a homogeneous system of equations to have a non-trivial solution is Δ=0⇒1111+a2+a-81-1+a2+a=0⇒a2+10a+17=0⇒a=−5±22


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