Download the app

Questions  

If the system of equations xkyz=0,kxyz=0,x+yz=0 has a non-zero solution, then the possible values of k are

Remember concepts with our Masterclasses.

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

Ready to Test Your Skills?

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

detailed solution

Correct option is D

As the given system has a non-zero solution, 0=1−k−1k−1−111−1=1+k−k−1−11+k−2−100−1                   [Using C1→C1−C2,C2→C2+C3]⇒ 0    =(−1)[(1+k)(−2)−(1+k)(−k−1)]⇒ 0    =(1+k)(−2+k+1)⇒k=−1,1


Similar Questions

If the system of equations, ax+by+cz=0 , bx+cy+az=0  and cx+ay+bz=0  have non trivial solution, then


whats app icon
phone icon