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The set of all values of lambda for whic...

The set of all values of `lambda` for which the system of linear equations: `x-2y-2z=lambdax`, `x+2y+z=lambday` and `-x-y=lambdaz` has a non-trivial solution: (a) is an empty sheet (b) is a singleton (c) contains more than two elements (d) contains exactly two elements

A

Contains exactly two elements

B

Contains more than two elements

C

Is a singleton

D

Is an empty set

Text Solution

Verified by Experts

The correct Answer is:
C
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VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -JEE MAIN ARCHIVE
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  11. If the system of linear equation x+y+z=5, x+2y+2z = 6, x+3y + lambda z...

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  12. If the system of equations, 2x + 3y-z = 0, x + ky -2z = 0 " and " 2x-y...

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  17. If the system of linear equations 2x+2y+3z=a 3x-y+5z=b x-3y+2z=...

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  18. The number of possible value of theta lies in (0,pi), such that system...

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  20. The system of linear equations x + y + z = 2 2x + 3y + 2z = 5 2...

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