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 k are

Why Kaysons ?

Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

Live Doubt Clearing Session

Ask your doubts live everyday Join our live doubt clearing session conducted by our experts.

National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

SPEAK TO COUNSELLOR ? CLICK HERE

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 =