16- The set of all values of - for which the system of linear equations x-2y-2z- x-x-2y-z- y -x-y-zhas a non-trivial solution- -A- contains more than two elements -B-is a singleton -C- is an empty set -D-contain exactly two elements-

You visited us 2 times! Enjoying our articles? Unlock Full Access!

Condition for a Conic to Be a Pair of Straight Lines

16. The set o...

Question

16. The set of all values of λ for which the system of linear equations x-2y-2z=λ x,x+2y+z=λ y -x-y=λzhas a non-trivial solution. (A) contains more than two elements (B)is a singleton (C) is an empty set (D)contain exactly two elements.

Open in App

Solution

Suggest Corrections

Similar questions

λ

x - 2 y - 2 z = λ x

x + 2 y + z = λ y

- x - y = λ z

λ

x - 2 y - 2 z = λ x

x + 2 y + z = λ y

- x - y = λ z

λ

x - 2 y - 2 z = λ x

x + 2 y + z = λ y

- x - y = λ z

λ

2 x_{1} - 2 x_{2} + x_{3} = λ x_{1}, 2 x_{1} - 3 x_{2} + 2 x_{3} = λ x_{2}

- x_{1} + 2 x_{2} = λ x_{3}

[λ]

λ

λ

x + y + z = 4, 3 x + 2 y + 5 z = 3, 9 x + 4 y + (28 + [λ]) z = [λ]

Join BYJU'S Learning Program