Download the app

Questions  

Suppose  a, b,  R and a, b1. If the system of equation ax + y + z = 0x + by + z = 0  ,  x + y + 2z = 0     

has a non-trivial solution, then

 

Remember concepts with our Masterclasses.

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

Ready to Test Your Skills?

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

detailed solution

Correct option is A

From (1) and (3)  (a – 1)x – z = 0 and from (2) and (3) (b-1) y=z∴  x1(1-a)=y1(1-b)=z1Putting in (1) we geta1-a+11-b+1=0⇒  a1-a=-11-b⇒  1-b=-1+a⇒  a+b=2


Similar Questions

If the system of equations ,x + y + z = 0,ax + by + z = 0,bx + y + z = 0,has a non-trivial solution, then 


whats app icon
phone icon