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

Solution

Correct option is

0

Multiply R1, R2, R3 by a, b, c respectively and hence divided by abc.

   

                    

  

∴                  Δ = 0.

SIMILAR QUESTIONS

Q2

The value of θ lying between θ = 0 and θ = π/2 and satisfying the equation

           

Q3

If pqr 0 and the system of equations

         (p + a)x + by + cz = 0

         ax + (q + b)y + cz = 0

          ax + by + (r + c)z = 0

has sc non – trivial solution, then value of

Q4

The system of equation

              ax + by + (aα + b)z = 0

               bx + cy + (bα + c)z = 0

            (aα + b)x + (bα + c)y = 0

has a non – zero solution if a, b, c are in

Q5

The system of equations

            ax + ayz = 0

            bxy + bz = 0

         – x + cy + cz = 0

(where a, b, c ≠ – 1 )has a non – trivial solution, then value of

          

Q6

The values of λ for which the system of equations

(λ + 5)x + (λ – 4)y + z = 0

(λ – 2)x + (λ + 3)y + z = 0

                 λx + λy + z = 0

has a non – trivial solution is (are)

Q7

Number of real values of λ for which the system of equations

(λ + 3)x + (λ + 2)y + z = 0

        3x + (λ + 3)y + z = 0

                 2x + 3y + z = 0

has a non – trivial solution is

Q8

The values of λ for which the system of equations

                2x + y + 2z = 2,

                  x – 2y + z = – 4

                  x + y + λz = 4

has no solution is

Q9

Evaluate the determinant without expansion as for as possible.