Question

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

Solution

Correct option is

– 1

Applying R2 → R2 → R1 and R3 → R3 – R1. We get

      

SIMILAR QUESTIONS

Q2

The number of distinct real roots of

  

Q3

               

Q4

                    

Q5

                 

Q8

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

           

Q9

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

Q10

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