Question

Solution

Correct option is  ∴  Solution is not unique

The system will have infinite solution if

Δ1 = 0, Δ2 = 0, Δ3 = 0

Δ1 = 0 ⇒ k2 – 3k + 2 = 0  ∴  k = 1, 2

For these values Δ2 and Δ3 are also zero.

Now take  SIMILAR QUESTIONS

Q1

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)

Q2

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

Q3

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

Q4

Evaluate the determinant without expansion as for as possible. Q5 Q6 Q7 Then f (100) is equal to

Q8  Q9

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

Q10

Let aij denoted the element of the ith row and jth column in 3 × 3 determinant (1 ≤ i ≤ 3, 1 ≤ j ≤ 3) and let aij – aij for every I and j. then the determinant has all the principle diagonal elements as