Complex Numbers & Quadratic Equations · JEE Main previous year questions

2016 1 question

1. Q102016 · 3 Apr 2016 · Shift 1

   The system of linear equations $x+\lambda y-z=0$ $\lambda x-y-z=0$ $x+y-\lambda z=0$ has a non-trivial solution for :

   1. A.infinitely many values of $\lambda$.
   2. B.exactly one value of $\lambda$.
   3. C.exactly two values of $\lambda$.
   4. D.exactly three values of $\lambda$.
   Show answer

   Answer: D