Question

If the system of equations x – ky – z = 0, kx – y – z = 0, x + y – z = 0 has a non zero solution, then the possible values of are

Solution

Correct option is

–1, 1

Set of homogeneous equations will have non-trivial solution if ∆ = 0

Apply R2 – R1R3 – R1 and expand.

SIMILAR QUESTIONS

Q1

If the number of distinct real roots of

          

Q2

The value of

                          

Q3

  begin mathsize 20px style the space value space of space x space and space y space is space end style

Q4

The parameter, on which the value of the determinant

                                      

Q5
Q8

        

Q9

x + ay = 0, y + az = 0, z + ax = 0. The value of a for which the system of equation has infinitely many solutions is

Q10

The system of equations

                   

                   

                   

Has no solution if α =