Question

Solution

Correct option is

2

Applying R1 – R2 and R2 – R3, we have kept pa, qb and rc

as desired

               

Expand w. r. t. C1

dividing throughout by (pa) (qb) (rc) which is justified 

Since ap, bq, cr is given    

            

Add 1 + 1 on both sides to get the desired from

            

SIMILAR QUESTIONS

Q1

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

Q2

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

          

Q3

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)

Q4

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

Q5

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

Q6

Evaluate the determinant without expansion as for as possible.

                          

Q7
Q9

 

Then f (100) is equal to

 

Q10

The number of values of k for which the system of equations

                (k + 1) x + 8y = 4k

                kx + (k + 3) y = 3k – 1

has infinitely many solution is