﻿ 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 : Kaysons Education

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

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Question

Solution

Correct option is

– 3

For λ = – 3, sum of the last two equation gives 2xy – 2z = 0. Compare it with the first equation

SIMILAR QUESTIONS

Q3

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

Q4

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

Q5

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

Q6

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

Q7

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)

Q8

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

Q9

Evaluate the determinant without expansion as for as possible.

Q10