Basic Maths Grand Test- Q23

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If S is set of distinct values of b for which the system of linear equations,

                                                 \newline x+y+z =1 \newline x+ay+z = 1 \newline ax+by+z =0

has no solution, then S is :

A. A Singleton

B. An Empty Set

C. An Infinite Set

D. A Finite Set Containing Two or More Elements

asked Nov 19 in Basic Maths by gbmentor (85,520 points)
reshown Nov 20 by getgatebook

1 Answer

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Here,

 

For a = 1, the equations become

x + y + z = 1
x + y + z = 1
x + by + z = 0

These equations give no solution for b = 1

Therefore, S is singleton set.

answered Nov 21 by tspranaykumar562 (2,720 points)
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